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Finding the Fourth Proportional to 257,869,690,496.40, 386,804,535,744.60 and 257,869,690,496.40

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Solution

The fourth proportional to 257,869,690,496.40, 386,804,535,744.60 and 257,869,690,496.40 is: 386,804,535,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,869,690,496.40 : 386,804,535,744.60 = 257,869,690,496.40 : x
  2. Step 2: Convert to fraction form
    257,869,690,496.40/386,804,535,744.60 = 257,869,690,496.40/x
  3. Step 3: Cross multiply
    257,869,690,496.40x = 386,804,535,744.60 × 257,869,690,496.40
  4. Step 4: Simplify right side
    257,869,690,496.40x = 99,745,165,915,063,689,674,752
  5. Step 5: Solve for x
    x = 99,745,165,915,063,689,674,752/257,869,690,496.40
  6. Step 6: Final answer
    x = 386,804,535,744.60

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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.