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Finding the Fourth Proportional to 551,635,272,024.70, 827,452,908,037.05 and 551,635,272,024.70

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Solution

The fourth proportional to 551,635,272,024.70, 827,452,908,037.05 and 551,635,272,024.70 is: 827,452,908,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,635,272,024.70 : 827,452,908,037.05 = 551,635,272,024.70 : x
  2. Step 2: Convert to fraction form
    551,635,272,024.70/827,452,908,037.05 = 551,635,272,024.70/x
  3. Step 3: Cross multiply
    551,635,272,024.70x = 827,452,908,037.05 × 551,635,272,024.70
  4. Step 4: Simplify right side
    551,635,272,024.70x = 456,452,210,012,647,128,563,712
  5. Step 5: Solve for x
    x = 456,452,210,012,647,128,563,712/551,635,272,024.70
  6. Step 6: Final answer
    x = 827,452,908,037.05

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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.