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Finding the Fourth Proportional to 310,315,060,205.16, 465,472,590,307.80 and 310,315,060,205.16

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Solution

The fourth proportional to 310,315,060,205.16, 465,472,590,307.80 and 310,315,060,205.16 is: 465,472,590,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,315,060,205.16 : 465,472,590,307.80 = 310,315,060,205.16 : x
  2. Step 2: Convert to fraction form
    310,315,060,205.16/465,472,590,307.80 = 310,315,060,205.16/x
  3. Step 3: Cross multiply
    310,315,060,205.16x = 465,472,590,307.80 × 310,315,060,205.16
  4. Step 4: Simplify right side
    310,315,060,205.16x = 144,443,154,885,216,709,902,336
  5. Step 5: Solve for x
    x = 144,443,154,885,216,709,902,336/310,315,060,205.16
  6. Step 6: Final answer
    x = 465,472,590,307.80

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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.