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Finding the Fourth Proportional to 680,466,506.40, 1,020,699,759.60 and 680,466,506.40

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Solution

The fourth proportional to 680,466,506.40, 1,020,699,759.60 and 680,466,506.40 is: 1,020,699,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,466,506.40 : 1,020,699,759.60 = 680,466,506.40 : x
  2. Step 2: Convert to fraction form
    680,466,506.40/1,020,699,759.60 = 680,466,506.40/x
  3. Step 3: Cross multiply
    680,466,506.40x = 1,020,699,759.60 × 680,466,506.40
  4. Step 4: Simplify right side
    680,466,506.40x = 694,551,999,498,331,904
  5. Step 5: Solve for x
    x = 694,551,999,498,331,904/680,466,506.40
  6. Step 6: Final answer
    x = 1,020,699,759.60

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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.