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Finding the Fourth Proportional to 688,616,327.10, 1,032,924,490.65 and 688,616,327.10

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Solution

The fourth proportional to 688,616,327.10, 1,032,924,490.65 and 688,616,327.10 is: 1,032,924,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,616,327.10 : 1,032,924,490.65 = 688,616,327.10 : x
  2. Step 2: Convert to fraction form
    688,616,327.10/1,032,924,490.65 = 688,616,327.10/x
  3. Step 3: Cross multiply
    688,616,327.10x = 1,032,924,490.65 × 688,616,327.10
  4. Step 4: Simplify right side
    688,616,327.10x = 711,288,668,923,041,280
  5. Step 5: Solve for x
    x = 711,288,668,923,041,280/688,616,327.10
  6. Step 6: Final answer
    x = 1,032,924,490.65

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1.5x scale

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.