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Finding the Fourth Proportional to 647,354,329.20, 971,031,493.80 and 440,730,068.40

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Solution

The fourth proportional to 647,354,329.20, 971,031,493.80 and 440,730,068.40 is: 661,095,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,354,329.20 : 971,031,493.80 = 440,730,068.40 : x
  2. Step 2: Convert to fraction form
    647,354,329.20/971,031,493.80 = 440,730,068.40/x
  3. Step 3: Cross multiply
    647,354,329.20x = 971,031,493.80 × 440,730,068.40
  4. Step 4: Simplify right side
    647,354,329.20x = 427,962,776,681,028,160
  5. Step 5: Solve for x
    x = 427,962,776,681,028,160/647,354,329.20
  6. Step 6: Final answer
    x = 661,095,102.60

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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.