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Finding the Fourth Proportional to 100,909,917.20, 141,656,521.60 and 100,909,917.20

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Solution

The fourth proportional to 100,909,917.20, 141,656,521.60 and 100,909,917.20 is: 141,656,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,909,917.20 : 141,656,521.60 = 100,909,917.20 : x
  2. Step 2: Convert to fraction form
    100,909,917.20/141,656,521.60 = 100,909,917.20/x
  3. Step 3: Cross multiply
    100,909,917.20x = 141,656,521.60 × 100,909,917.20
  4. Step 4: Simplify right side
    100,909,917.20x = 14,294,547,865,496,012
  5. Step 5: Solve for x
    x = 14,294,547,865,496,012/100,909,917.20
  6. Step 6: Final answer
    x = 141,656,521.60

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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.