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Finding the Fourth Proportional to 108,752,819,907.60, 163,129,229,861.40 and 108,752,819,907.60

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Solution

The fourth proportional to 108,752,819,907.60, 163,129,229,861.40 and 108,752,819,907.60 is: 163,129,229,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,752,819,907.60 : 163,129,229,861.40 = 108,752,819,907.60 : x
  2. Step 2: Convert to fraction form
    108,752,819,907.60/163,129,229,861.40 = 108,752,819,907.60/x
  3. Step 3: Cross multiply
    108,752,819,907.60x = 163,129,229,861.40 × 108,752,819,907.60
  4. Step 4: Simplify right side
    108,752,819,907.60x = 17,740,763,756,782,319,304,704
  5. Step 5: Solve for x
    x = 17,740,763,756,782,319,304,704/108,752,819,907.60
  6. Step 6: Final answer
    x = 163,129,229,861.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.