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Finding the Fourth Proportional to 537,657,812.60, 806,486,718.90 and 537,657,812.60

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Solution

The fourth proportional to 537,657,812.60, 806,486,718.90 and 537,657,812.60 is: 806,486,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,657,812.60 : 806,486,718.90 = 537,657,812.60 : x
  2. Step 2: Convert to fraction form
    537,657,812.60/806,486,718.90 = 537,657,812.60/x
  3. Step 3: Cross multiply
    537,657,812.60x = 806,486,718.90 × 537,657,812.60
  4. Step 4: Simplify right side
    537,657,812.60x = 433,613,885,174,725,056
  5. Step 5: Solve for x
    x = 433,613,885,174,725,056/537,657,812.60
  6. Step 6: Final answer
    x = 806,486,718.90

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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.