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Finding the Fourth Proportional to 310,315,060,273.93, 465,472,590,410.90 and 310,315,060,273.93

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Solution

The fourth proportional to 310,315,060,273.93, 465,472,590,410.90 and 310,315,060,273.93 is: 465,472,590,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,315,060,273.93 : 465,472,590,410.90 = 310,315,060,273.93 : x
  2. Step 2: Convert to fraction form
    310,315,060,273.93/465,472,590,410.90 = 310,315,060,273.93/x
  3. Step 3: Cross multiply
    310,315,060,273.93x = 465,472,590,410.90 × 310,315,060,273.93
  4. Step 4: Simplify right side
    310,315,060,273.93x = 144,443,154,949,220,765,532,160
  5. Step 5: Solve for x
    x = 144,443,154,949,220,765,532,160/310,315,060,273.93
  6. Step 6: Final answer
    x = 465,472,590,410.90

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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.