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Finding the Fourth Proportional to 556,720,512,013.30, 835,080,768,019.95 and 556,720,512,013.30

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Solution

The fourth proportional to 556,720,512,013.30, 835,080,768,019.95 and 556,720,512,013.30 is: 835,080,768,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,720,512,013.30 : 835,080,768,019.95 = 556,720,512,013.30 : x
  2. Step 2: Convert to fraction form
    556,720,512,013.30/835,080,768,019.95 = 556,720,512,013.30/x
  3. Step 3: Cross multiply
    556,720,512,013.30x = 835,080,768,019.95 × 556,720,512,013.30
  4. Step 4: Simplify right side
    556,720,512,013.30x = 464,906,592,744,526,391,017,472
  5. Step 5: Solve for x
    x = 464,906,592,744,526,391,017,472/556,720,512,013.30
  6. Step 6: Final answer
    x = 835,080,768,019.95

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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.