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Finding the Fourth Proportional to 498,845,952,023.10, 748,268,928,034.70 and 498,845,952,023.10

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Solution

The fourth proportional to 498,845,952,023.10, 748,268,928,034.70 and 498,845,952,023.10 is: 748,268,928,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,845,952,023.10 : 748,268,928,034.70 = 498,845,952,023.10 : x
  2. Step 2: Convert to fraction form
    498,845,952,023.10/748,268,928,034.70 = 498,845,952,023.10/x
  3. Step 3: Cross multiply
    498,845,952,023.10x = 748,268,928,034.70 × 498,845,952,023.10
  4. Step 4: Simplify right side
    498,845,952,023.10x = 373,270,925,774,774,387,867,648
  5. Step 5: Solve for x
    x = 373,270,925,774,774,387,867,648/498,845,952,023.10
  6. Step 6: Final answer
    x = 748,268,928,034.70

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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.