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Finding the Fourth Proportional to 598,045,953.80, 897,068,930.70 and 598,045,953.80

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Solution

The fourth proportional to 598,045,953.80, 897,068,930.70 and 598,045,953.80 is: 897,068,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,045,953.80 : 897,068,930.70 = 598,045,953.80 : x
  2. Step 2: Convert to fraction form
    598,045,953.80/897,068,930.70 = 598,045,953.80/x
  3. Step 3: Cross multiply
    598,045,953.80x = 897,068,930.70 × 598,045,953.80
  4. Step 4: Simplify right side
    598,045,953.80x = 536,488,444,284,827,584
  5. Step 5: Solve for x
    x = 536,488,444,284,827,584/598,045,953.80
  6. Step 6: Final answer
    x = 897,068,930.70

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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.