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Finding the Fourth Proportional to 482,695,661.80, 724,043,492.70 and 176,207,732.20

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Solution

The fourth proportional to 482,695,661.80, 724,043,492.70 and 176,207,732.20 is: 264,311,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,695,661.80 : 724,043,492.70 = 176,207,732.20 : x
  2. Step 2: Convert to fraction form
    482,695,661.80/724,043,492.70 = 176,207,732.20/x
  3. Step 3: Cross multiply
    482,695,661.80x = 724,043,492.70 × 176,207,732.20
  4. Step 4: Simplify right side
    482,695,661.80x = 127,582,061,862,834,256
  5. Step 5: Solve for x
    x = 127,582,061,862,834,256/482,695,661.80
  6. Step 6: Final answer
    x = 264,311,598.30

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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.