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Finding the Fourth Proportional to 497,761,885.40, 746,642,828.10 and 497,761,885.40

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Solution

The fourth proportional to 497,761,885.40, 746,642,828.10 and 497,761,885.40 is: 746,642,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,761,885.40 : 746,642,828.10 = 497,761,885.40 : x
  2. Step 2: Convert to fraction form
    497,761,885.40/746,642,828.10 = 497,761,885.40/x
  3. Step 3: Cross multiply
    497,761,885.40x = 746,642,828.10 × 497,761,885.40
  4. Step 4: Simplify right side
    497,761,885.40x = 371,650,341,835,444,096
  5. Step 5: Solve for x
    x = 371,650,341,835,444,096/497,761,885.40
  6. Step 6: Final answer
    x = 746,642,828.10

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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.