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Finding the Fourth Proportional to 463,575,924,004.20, 695,363,886,006.30 and 463,575,924,004.20

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Solution

The fourth proportional to 463,575,924,004.20, 695,363,886,006.30 and 463,575,924,004.20 is: 695,363,886,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,575,924,004.20 : 695,363,886,006.30 = 463,575,924,004.20 : x
  2. Step 2: Convert to fraction form
    463,575,924,004.20/695,363,886,006.30 = 463,575,924,004.20/x
  3. Step 3: Cross multiply
    463,575,924,004.20x = 695,363,886,006.30 × 463,575,924,004.20
  4. Step 4: Simplify right side
    463,575,924,004.20x = 322,353,955,974,521,726,959,616
  5. Step 5: Solve for x
    x = 322,353,955,974,521,726,959,616/463,575,924,004.20
  6. Step 6: Final answer
    x = 695,363,886,006.30

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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.