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Finding the Fourth Proportional to 100,116,009.90, 140,565,521.70 and 100,116,009.90

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Solution

The fourth proportional to 100,116,009.90, 140,565,521.70 and 100,116,009.90 is: 140,565,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,116,009.90 : 140,565,521.70 = 100,116,009.90 : x
  2. Step 2: Convert to fraction form
    100,116,009.90/140,565,521.70 = 100,116,009.90/x
  3. Step 3: Cross multiply
    100,116,009.90x = 140,565,521.70 × 100,116,009.90
  4. Step 4: Simplify right side
    100,116,009.90x = 14,072,859,162,115,864
  5. Step 5: Solve for x
    x = 14,072,859,162,115,864/100,116,009.90
  6. Step 6: Final answer
    x = 140,565,521.70

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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.