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Finding the Fourth Proportional to 25,366,986,025.60, 38,050,479,038.40 and 25,366,986,025.60

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Solution

The fourth proportional to 25,366,986,025.60, 38,050,479,038.40 and 25,366,986,025.60 is: 38,050,479,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,366,986,025.60 : 38,050,479,038.40 = 25,366,986,025.60 : x
  2. Step 2: Convert to fraction form
    25,366,986,025.60/38,050,479,038.40 = 25,366,986,025.60/x
  3. Step 3: Cross multiply
    25,366,986,025.60x = 38,050,479,038.40 × 25,366,986,025.60
  4. Step 4: Simplify right side
    25,366,986,025.60x = 965,225,970,034,478,546,944
  5. Step 5: Solve for x
    x = 965,225,970,034,478,546,944/25,366,986,025.60
  6. Step 6: Final answer
    x = 38,050,479,038.40

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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.