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Finding the Fourth Proportional to 640,610,822.40, 960,916,233.60 and 640,610,822.40

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Solution

The fourth proportional to 640,610,822.40, 960,916,233.60 and 640,610,822.40 is: 960,916,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,610,822.40 : 960,916,233.60 = 640,610,822.40 : x
  2. Step 2: Convert to fraction form
    640,610,822.40/960,916,233.60 = 640,610,822.40/x
  3. Step 3: Cross multiply
    640,610,822.40x = 960,916,233.60 × 640,610,822.40
  4. Step 4: Simplify right side
    640,610,822.40x = 615,573,338,664,006,528
  5. Step 5: Solve for x
    x = 615,573,338,664,006,528/640,610,822.40
  6. Step 6: Final answer
    x = 960,916,233.60

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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.