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Finding the Fourth Proportional to 647,423,137.40, 971,134,706.10 and 572,596,244.60

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Solution

The fourth proportional to 647,423,137.40, 971,134,706.10 and 572,596,244.60 is: 858,894,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,423,137.40 : 971,134,706.10 = 572,596,244.60 : x
  2. Step 2: Convert to fraction form
    647,423,137.40/971,134,706.10 = 572,596,244.60/x
  3. Step 3: Cross multiply
    647,423,137.40x = 971,134,706.10 × 572,596,244.60
  4. Step 4: Simplify right side
    647,423,137.40x = 556,068,085,713,584,768
  5. Step 5: Solve for x
    x = 556,068,085,713,584,768/647,423,137.40
  6. Step 6: Final answer
    x = 858,894,366.90

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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.