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Finding the Fourth Proportional to 598,752,078.30, 898,128,117.45 and 598,752,078.30

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Solution

The fourth proportional to 598,752,078.30, 898,128,117.45 and 598,752,078.30 is: 898,128,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,752,078.30 : 898,128,117.45 = 598,752,078.30 : x
  2. Step 2: Convert to fraction form
    598,752,078.30/898,128,117.45 = 598,752,078.30/x
  3. Step 3: Cross multiply
    598,752,078.30x = 898,128,117.45 × 598,752,078.30
  4. Step 4: Simplify right side
    598,752,078.30x = 537,756,076,902,853,952
  5. Step 5: Solve for x
    x = 537,756,076,902,853,952/598,752,078.30
  6. Step 6: Final answer
    x = 898,128,117.45

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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.