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Finding the Fourth Proportional to 569,472,006.80, 854,208,010.20 and 497,808,390.80

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Solution

The fourth proportional to 569,472,006.80, 854,208,010.20 and 497,808,390.80 is: 746,712,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,472,006.80 : 854,208,010.20 = 497,808,390.80 : x
  2. Step 2: Convert to fraction form
    569,472,006.80/854,208,010.20 = 497,808,390.80/x
  3. Step 3: Cross multiply
    569,472,006.80x = 854,208,010.20 × 497,808,390.80
  4. Step 4: Simplify right side
    569,472,006.80x = 425,231,914,966,132,032
  5. Step 5: Solve for x
    x = 425,231,914,966,132,032/569,472,006.80
  6. Step 6: Final answer
    x = 746,712,586.20

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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.