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Finding the Fourth Proportional to 142,168,851.30, 199,610,348.10 and 142,168,851.30

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Solution

The fourth proportional to 142,168,851.30, 199,610,348.10 and 142,168,851.30 is: 199,610,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,168,851.30 : 199,610,348.10 = 142,168,851.30 : x
  2. Step 2: Convert to fraction form
    142,168,851.30/199,610,348.10 = 142,168,851.30/x
  3. Step 3: Cross multiply
    142,168,851.30x = 199,610,348.10 × 142,168,851.30
  4. Step 4: Simplify right side
    142,168,851.30x = 28,378,373,896,970,140
  5. Step 5: Solve for x
    x = 28,378,373,896,970,140/142,168,851.30
  6. Step 6: Final answer
    x = 199,610,348.10

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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.