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Finding the Fourth Proportional to 235,836,265,614.30, 353,754,398,421.45 and 235,836,265,614.30

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Solution

The fourth proportional to 235,836,265,614.30, 353,754,398,421.45 and 235,836,265,614.30 is: 353,754,398,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,836,265,614.30 : 353,754,398,421.45 = 235,836,265,614.30 : x
  2. Step 2: Convert to fraction form
    235,836,265,614.30/353,754,398,421.45 = 235,836,265,614.30/x
  3. Step 3: Cross multiply
    235,836,265,614.30x = 353,754,398,421.45 × 235,836,265,614.30
  4. Step 4: Simplify right side
    235,836,265,614.30x = 83,428,116,268,347,996,241,920
  5. Step 5: Solve for x
    x = 83,428,116,268,347,996,241,920/235,836,265,614.30
  6. Step 6: Final answer
    x = 353,754,398,421.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.