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Finding the Fourth Proportional to 586,540,461.60, 809,335,857.60 and 338,974,005.60

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Solution

The fourth proportional to 586,540,461.60, 809,335,857.60 and 338,974,005.60 is: 467,732,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,540,461.60 : 809,335,857.60 = 338,974,005.60 : x
  2. Step 2: Convert to fraction form
    586,540,461.60/809,335,857.60 = 338,974,005.60/x
  3. Step 3: Cross multiply
    586,540,461.60x = 809,335,857.60 × 338,974,005.60
  4. Step 4: Simplify right side
    586,540,461.60x = 274,343,817,526,383,232
  5. Step 5: Solve for x
    x = 274,343,817,526,383,232/586,540,461.60
  6. Step 6: Final answer
    x = 467,732,126.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.