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Finding the Fourth Proportional to 549,421,512,077.02, 824,132,268,115.53 and 549,421,512,077.02

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Solution

The fourth proportional to 549,421,512,077.02, 824,132,268,115.53 and 549,421,512,077.02 is: 824,132,268,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,421,512,077.02 : 824,132,268,115.53 = 549,421,512,077.02 : x
  2. Step 2: Convert to fraction form
    549,421,512,077.02/824,132,268,115.53 = 549,421,512,077.02/x
  3. Step 3: Cross multiply
    549,421,512,077.02x = 824,132,268,115.53 × 549,421,512,077.02
  4. Step 4: Simplify right side
    549,421,512,077.02x = 452,795,996,899,498,585,489,408
  5. Step 5: Solve for x
    x = 452,795,996,899,498,585,489,408/549,421,512,077.02
  6. Step 6: Final answer
    x = 824,132,268,115.53

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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.