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Finding the Fourth Proportional to 960,336,233.60, 1,348,098,697.60 and 960,336,233.60

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Solution

The fourth proportional to 960,336,233.60, 1,348,098,697.60 and 960,336,233.60 is: 1,348,098,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,336,233.60 : 1,348,098,697.60 = 960,336,233.60 : x
  2. Step 2: Convert to fraction form
    960,336,233.60/1,348,098,697.60 = 960,336,233.60/x
  3. Step 3: Cross multiply
    960,336,233.60x = 1,348,098,697.60 × 960,336,233.60
  4. Step 4: Simplify right side
    960,336,233.60x = 1,294,628,025,774,249,216
  5. Step 5: Solve for x
    x = 1,294,628,025,774,249,216/960,336,233.60
  6. Step 6: Final answer
    x = 1,348,098,697.60

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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.