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Finding the Fourth Proportional to 65,367,262,357.10, 97,895,925,340.05 and 65,367,262,357.10

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Solution

The fourth proportional to 65,367,262,357.10, 97,895,925,340.05 and 65,367,262,357.10 is: 97,895,925,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367,262,357.10 : 97,895,925,340.05 = 65,367,262,357.10 : x
  2. Step 2: Convert to fraction form
    65,367,262,357.10/97,895,925,340.05 = 65,367,262,357.10/x
  3. Step 3: Cross multiply
    65,367,262,357.10x = 97,895,925,340.05 × 65,367,262,357.10
  4. Step 4: Simplify right side
    65,367,262,357.10x = 6,399,188,635,394,121,924,608
  5. Step 5: Solve for x
    x = 6,399,188,635,394,121,924,608/65,367,262,357.10
  6. Step 6: Final answer
    x = 97,895,925,340.05

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