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Finding the Fourth Proportional to 647,890,689.40, 971,836,034.10 and 598,006,094.20

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Solution

The fourth proportional to 647,890,689.40, 971,836,034.10 and 598,006,094.20 is: 897,009,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,890,689.40 : 971,836,034.10 = 598,006,094.20 : x
  2. Step 2: Convert to fraction form
    647,890,689.40/971,836,034.10 = 598,006,094.20/x
  3. Step 3: Cross multiply
    647,890,689.40x = 971,836,034.10 × 598,006,094.20
  4. Step 4: Simplify right side
    647,890,689.40x = 581,163,870,954,959,104
  5. Step 5: Solve for x
    x = 581,163,870,954,959,104/647,890,689.40
  6. Step 6: Final answer
    x = 897,009,141.30

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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.