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Finding the Fourth Proportional to 647,694,269.40, 970,106,513.40 and 561,600,827.40

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Solution

The fourth proportional to 647,694,269.40, 970,106,513.40 and 561,600,827.40 is: 841,157,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,694,269.40 : 970,106,513.40 = 561,600,827.40 : x
  2. Step 2: Convert to fraction form
    647,694,269.40/970,106,513.40 = 561,600,827.40/x
  3. Step 3: Cross multiply
    647,694,269.40x = 970,106,513.40 × 561,600,827.40
  4. Step 4: Simplify right side
    647,694,269.40x = 544,812,620,591,569,152
  5. Step 5: Solve for x
    x = 544,812,620,591,569,152/647,694,269.40
  6. Step 6: Final answer
    x = 841,157,080.32

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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.