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Finding the Fourth Proportional to 208,737,165.40, 313,105,748.10 and 208,737,165.40

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Solution

The fourth proportional to 208,737,165.40, 313,105,748.10 and 208,737,165.40 is: 313,105,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,737,165.40 : 313,105,748.10 = 208,737,165.40 : x
  2. Step 2: Convert to fraction form
    208,737,165.40/313,105,748.10 = 208,737,165.40/x
  3. Step 3: Cross multiply
    208,737,165.40x = 313,105,748.10 × 208,737,165.40
  4. Step 4: Simplify right side
    208,737,165.40x = 65,356,806,328,840,440
  5. Step 5: Solve for x
    x = 65,356,806,328,840,440/208,737,165.40
  6. Step 6: Final answer
    x = 313,105,748.10

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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.