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Finding the Fourth Proportional to 78,732,135.45, 109,969,897.95 and 78,732,135.45

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Solution

The fourth proportional to 78,732,135.45, 109,969,897.95 and 78,732,135.45 is: 109,969,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732,135.45 : 109,969,897.95 = 78,732,135.45 : x
  2. Step 2: Convert to fraction form
    78,732,135.45/109,969,897.95 = 78,732,135.45/x
  3. Step 3: Cross multiply
    78,732,135.45x = 109,969,897.95 × 78,732,135.45
  4. Step 4: Simplify right side
    78,732,135.45x = 8,658,164,900,822,078
  5. Step 5: Solve for x
    x = 8,658,164,900,822,078/78,732,135.45
  6. Step 6: Final answer
    x = 109,969,897.95

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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.