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Finding the Fourth Proportional to 145,536,314.90, 218,304,472.35 and 145,536,314.90

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Solution

The fourth proportional to 145,536,314.90, 218,304,472.35 and 145,536,314.90 is: 218,304,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,536,314.90 : 218,304,472.35 = 145,536,314.90 : x
  2. Step 2: Convert to fraction form
    145,536,314.90/218,304,472.35 = 145,536,314.90/x
  3. Step 3: Cross multiply
    145,536,314.90x = 218,304,472.35 × 145,536,314.90
  4. Step 4: Simplify right side
    145,536,314.90x = 31,771,228,432,007,944
  5. Step 5: Solve for x
    x = 31,771,228,432,007,944/145,536,314.90
  6. Step 6: Final answer
    x = 218,304,472.35

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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.