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Finding the Fourth Proportional to 100,509,070.10, 140,904,016.90 and 100,509,070.10

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Solution

The fourth proportional to 100,509,070.10, 140,904,016.90 and 100,509,070.10 is: 140,904,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509,070.10 : 140,904,016.90 = 100,509,070.10 : x
  2. Step 2: Convert to fraction form
    100,509,070.10/140,904,016.90 = 100,509,070.10/x
  3. Step 3: Cross multiply
    100,509,070.10x = 140,904,016.90 × 100,509,070.10
  4. Step 4: Simplify right side
    100,509,070.10x = 14,162,131,711,973,684
  5. Step 5: Solve for x
    x = 14,162,131,711,973,684/100,509,070.10
  6. Step 6: Final answer
    x = 140,904,016.90

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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.