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Finding the Fourth Proportional to 81,678,045.60, 114,434,294.40 and 81,678,045.60

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Solution

The fourth proportional to 81,678,045.60, 114,434,294.40 and 81,678,045.60 is: 114,434,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,678,045.60 : 114,434,294.40 = 81,678,045.60 : x
  2. Step 2: Convert to fraction form
    81,678,045.60/114,434,294.40 = 81,678,045.60/x
  3. Step 3: Cross multiply
    81,678,045.60x = 114,434,294.40 × 81,678,045.60
  4. Step 4: Simplify right side
    81,678,045.60x = 9,346,769,516,207,024
  5. Step 5: Solve for x
    x = 9,346,769,516,207,024/81,678,045.60
  6. Step 6: Final answer
    x = 114,434,294.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.