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Finding the Fourth Proportional to 498,428,045.90, 747,642,068.85 and 498,428,045.90

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Solution

The fourth proportional to 498,428,045.90, 747,642,068.85 and 498,428,045.90 is: 747,642,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,428,045.90 : 747,642,068.85 = 498,428,045.90 : x
  2. Step 2: Convert to fraction form
    498,428,045.90/747,642,068.85 = 498,428,045.90/x
  3. Step 3: Cross multiply
    498,428,045.90x = 747,642,068.85 × 498,428,045.90
  4. Step 4: Simplify right side
    498,428,045.90x = 372,645,775,409,538,752
  5. Step 5: Solve for x
    x = 372,645,775,409,538,752/498,428,045.90
  6. Step 6: Final answer
    x = 747,642,068.85

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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.