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Finding the Fourth Proportional to 616,861,818,008.30, 923,551,301,143.65 and 616,861,818,008.30

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Solution

The fourth proportional to 616,861,818,008.30, 923,551,301,143.65 and 616,861,818,008.30 is: 923,551,301,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,861,818,008.30 : 923,551,301,143.65 = 616,861,818,008.30 : x
  2. Step 2: Convert to fraction form
    616,861,818,008.30/923,551,301,143.65 = 616,861,818,008.30/x
  3. Step 3: Cross multiply
    616,861,818,008.30x = 923,551,301,143.65 × 616,861,818,008.30
  4. Step 4: Simplify right side
    616,861,818,008.30x = 569,703,534,647,402,980,966,400
  5. Step 5: Solve for x
    x = 569,703,534,647,402,980,966,400/616,861,818,008.30
  6. Step 6: Final answer
    x = 923,551,301,143.65

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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.