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Finding the Fourth Proportional to 208,656,376,473.20, 312,984,564,709.79 and 208,656,376,473.20

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Solution

The fourth proportional to 208,656,376,473.20, 312,984,564,709.79 and 208,656,376,473.20 is: 312,984,564,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,656,376,473.20 : 312,984,564,709.79 = 208,656,376,473.20 : x
  2. Step 2: Convert to fraction form
    208,656,376,473.20/312,984,564,709.79 = 208,656,376,473.20/x
  3. Step 3: Cross multiply
    208,656,376,473.20x = 312,984,564,709.79 × 208,656,376,473.20
  4. Step 4: Simplify right side
    208,656,376,473.20x = 65,306,225,164,386,566,144,000
  5. Step 5: Solve for x
    x = 65,306,225,164,386,566,144,000/208,656,376,473.20
  6. Step 6: Final answer
    x = 312,984,564,709.79

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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.