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Finding the Fourth Proportional to 257,869,690,502.90, 386,804,535,754.35 and 257,869,690,502.90

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Solution

The fourth proportional to 257,869,690,502.90, 386,804,535,754.35 and 257,869,690,502.90 is: 386,804,535,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,869,690,502.90 : 386,804,535,754.35 = 257,869,690,502.90 : x
  2. Step 2: Convert to fraction form
    257,869,690,502.90/386,804,535,754.35 = 257,869,690,502.90/x
  3. Step 3: Cross multiply
    257,869,690,502.90x = 386,804,535,754.35 × 257,869,690,502.90
  4. Step 4: Simplify right side
    257,869,690,502.90x = 99,745,165,920,092,140,077,056
  5. Step 5: Solve for x
    x = 99,745,165,920,092,140,077,056/257,869,690,502.90
  6. Step 6: Final answer
    x = 386,804,535,754.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.