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Finding the Fourth Proportional to 310,315,060,200.65, 465,472,590,300.93 and 310,315,060,200.65

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Solution

The fourth proportional to 310,315,060,200.65, 465,472,590,300.93 and 310,315,060,200.65 is: 465,472,590,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,315,060,200.65 : 465,472,590,300.93 = 310,315,060,200.65 : x
  2. Step 2: Convert to fraction form
    310,315,060,200.65/465,472,590,300.93 = 310,315,060,200.65/x
  3. Step 3: Cross multiply
    310,315,060,200.65x = 465,472,590,300.93 × 310,315,060,200.65
  4. Step 4: Simplify right side
    310,315,060,200.65x = 144,443,154,880,985,596,690,432
  5. Step 5: Solve for x
    x = 144,443,154,880,985,596,690,432/310,315,060,200.65
  6. Step 6: Final answer
    x = 465,472,590,300.93

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.