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Finding the Fourth Proportional to 598,702,023.80, 898,053,035.70 and 598,702,023.80

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Solution

The fourth proportional to 598,702,023.80, 898,053,035.70 and 598,702,023.80 is: 898,053,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,702,023.80 : 898,053,035.70 = 598,702,023.80 : x
  2. Step 2: Convert to fraction form
    598,702,023.80/898,053,035.70 = 598,702,023.80/x
  3. Step 3: Cross multiply
    598,702,023.80x = 898,053,035.70 × 598,702,023.80
  4. Step 4: Simplify right side
    598,702,023.80x = 537,666,169,953,323,648
  5. Step 5: Solve for x
    x = 537,666,169,953,323,648/598,702,023.80
  6. Step 6: Final answer
    x = 898,053,035.70

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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.