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Finding the Fourth Proportional to 680,461,200.90, 1,020,691,801.35 and 680,461,200.90

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Solution

The fourth proportional to 680,461,200.90, 1,020,691,801.35 and 680,461,200.90 is: 1,020,691,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,461,200.90 : 1,020,691,801.35 = 680,461,200.90 : x
  2. Step 2: Convert to fraction form
    680,461,200.90/1,020,691,801.35 = 680,461,200.90/x
  3. Step 3: Cross multiply
    680,461,200.90x = 1,020,691,801.35 × 680,461,200.90
  4. Step 4: Simplify right side
    680,461,200.90x = 694,541,168,895,405,184
  5. Step 5: Solve for x
    x = 694,541,168,895,405,184/680,461,200.90
  6. Step 6: Final answer
    x = 1,020,691,801.35

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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.