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Finding the Fourth Proportional to 717,584,662.80, 1,005,298,772.40 and 717,584,662.80

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Solution

The fourth proportional to 717,584,662.80, 1,005,298,772.40 and 717,584,662.80 is: 1,005,298,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,584,662.80 : 1,005,298,772.40 = 717,584,662.80 : x
  2. Step 2: Convert to fraction form
    717,584,662.80/1,005,298,772.40 = 717,584,662.80/x
  3. Step 3: Cross multiply
    717,584,662.80x = 1,005,298,772.40 × 717,584,662.80
  4. Step 4: Simplify right side
    717,584,662.80x = 721,386,980,605,907,840
  5. Step 5: Solve for x
    x = 721,386,980,605,907,840/717,584,662.80
  6. Step 6: Final answer
    x = 1,005,298,772.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.