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Finding the Fourth Proportional to 463,574,016,165.70, 695,361,024,248.55 and 463,574,016,165.70

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Solution

The fourth proportional to 463,574,016,165.70, 695,361,024,248.55 and 463,574,016,165.70 is: 695,361,024,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,574,016,165.70 : 695,361,024,248.55 = 463,574,016,165.70 : x
  2. Step 2: Convert to fraction form
    463,574,016,165.70/695,361,024,248.55 = 463,574,016,165.70/x
  3. Step 3: Cross multiply
    463,574,016,165.70x = 695,361,024,248.55 × 463,574,016,165.70
  4. Step 4: Simplify right side
    463,574,016,165.70x = 322,351,302,695,995,062,616,064
  5. Step 5: Solve for x
    x = 322,351,302,695,995,062,616,064/463,574,016,165.70
  6. Step 6: Final answer
    x = 695,361,024,248.55

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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.