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Finding the Fourth Proportional to 531,350,604,025.90, 797,025,906,038.75 and 531,350,604,025.90

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Solution

The fourth proportional to 531,350,604,025.90, 797,025,906,038.75 and 531,350,604,025.90 is: 797,025,906,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,350,604,025.90 : 797,025,906,038.75 = 531,350,604,025.90 : x
  2. Step 2: Convert to fraction form
    531,350,604,025.90/797,025,906,038.75 = 531,350,604,025.90/x
  3. Step 3: Cross multiply
    531,350,604,025.90x = 797,025,906,038.75 × 531,350,604,025.90
  4. Step 4: Simplify right side
    531,350,604,025.90x = 423,500,196,597,980,081,422,336
  5. Step 5: Solve for x
    x = 423,500,196,597,980,081,422,336/531,350,604,025.90
  6. Step 6: Final answer
    x = 797,025,906,038.75

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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.