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Finding the Fourth Proportional to 53,156,080,761.60, 79,734,121,142.40 and 53,156,080,761.60

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Solution

The fourth proportional to 53,156,080,761.60, 79,734,121,142.40 and 53,156,080,761.60 is: 79,734,121,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,156,080,761.60 : 79,734,121,142.40 = 53,156,080,761.60 : x
  2. Step 2: Convert to fraction form
    53,156,080,761.60/79,734,121,142.40 = 53,156,080,761.60/x
  3. Step 3: Cross multiply
    53,156,080,761.60x = 79,734,121,142.40 × 53,156,080,761.60
  4. Step 4: Simplify right side
    53,156,080,761.60x = 4,238,353,382,900,612,202,496
  5. Step 5: Solve for x
    x = 4,238,353,382,900,612,202,496/53,156,080,761.60
  6. Step 6: Final answer
    x = 79,734,121,142.40

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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.