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Finding the Fourth Proportional to 689,478,045.90, 1,034,217,068.85 and 689,478,045.90

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Solution

The fourth proportional to 689,478,045.90, 1,034,217,068.85 and 689,478,045.90 is: 1,034,217,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,478,045.90 : 1,034,217,068.85 = 689,478,045.90 : x
  2. Step 2: Convert to fraction form
    689,478,045.90/1,034,217,068.85 = 689,478,045.90/x
  3. Step 3: Cross multiply
    689,478,045.90x = 1,034,217,068.85 × 689,478,045.90
  4. Step 4: Simplify right side
    689,478,045.90x = 713,069,963,667,123,712
  5. Step 5: Solve for x
    x = 713,069,963,667,123,712/689,478,045.90
  6. Step 6: Final answer
    x = 1,034,217,068.85

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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.