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Finding the Fourth Proportional to 118,098,320.30, 164,955,010.90 and 118,098,320.30

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Solution

The fourth proportional to 118,098,320.30, 164,955,010.90 and 118,098,320.30 is: 164,955,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098,320.30 : 164,955,010.90 = 118,098,320.30 : x
  2. Step 2: Convert to fraction form
    118,098,320.30/164,955,010.90 = 118,098,320.30/x
  3. Step 3: Cross multiply
    118,098,320.30x = 164,955,010.90 × 118,098,320.30
  4. Step 4: Simplify right side
    118,098,320.30x = 19,480,909,712,358,192
  5. Step 5: Solve for x
    x = 19,480,909,712,358,192/118,098,320.30
  6. Step 6: Final answer
    x = 164,955,010.90

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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.