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Finding the Fourth Proportional to 599,112,200.80, 898,668,301.20 and 599,112,200.80

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Solution

The fourth proportional to 599,112,200.80, 898,668,301.20 and 599,112,200.80 is: 898,668,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,112,200.80 : 898,668,301.20 = 599,112,200.80 : x
  2. Step 2: Convert to fraction form
    599,112,200.80/898,668,301.20 = 599,112,200.80/x
  3. Step 3: Cross multiply
    599,112,200.80x = 898,668,301.20 × 599,112,200.80
  4. Step 4: Simplify right side
    599,112,200.80x = 538,403,143,721,129,280
  5. Step 5: Solve for x
    x = 538,403,143,721,129,280/599,112,200.80
  6. Step 6: Final answer
    x = 898,668,301.20

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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.