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Finding the Fourth Proportional to 435,975,534,098.20, 653,963,301,147.30 and 435,975,534,098.20

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Solution

The fourth proportional to 435,975,534,098.20, 653,963,301,147.30 and 435,975,534,098.20 is: 653,963,301,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,975,534,098.20 : 653,963,301,147.30 = 435,975,534,098.20 : x
  2. Step 2: Convert to fraction form
    435,975,534,098.20/653,963,301,147.30 = 435,975,534,098.20/x
  3. Step 3: Cross multiply
    435,975,534,098.20x = 653,963,301,147.30 × 435,975,534,098.20
  4. Step 4: Simplify right side
    435,975,534,098.20x = 285,111,999,498,316,146,540,544
  5. Step 5: Solve for x
    x = 285,111,999,498,316,146,540,544/435,975,534,098.20
  6. Step 6: Final answer
    x = 653,963,301,147.30

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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.