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Finding the Fourth Proportional to 400,713,709,672.02, 601,070,564,508.02 and 400,713,709,672.02

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Solution

The fourth proportional to 400,713,709,672.02, 601,070,564,508.02 and 400,713,709,672.02 is: 601,070,564,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,713,709,672.02 : 601,070,564,508.02 = 400,713,709,672.02 : x
  2. Step 2: Convert to fraction form
    400,713,709,672.02/601,070,564,508.02 = 400,713,709,672.02/x
  3. Step 3: Cross multiply
    400,713,709,672.02x = 601,070,564,508.02 × 400,713,709,672.02
  4. Step 4: Simplify right side
    400,713,709,672.02x = 240,857,215,678,663,914,160,128
  5. Step 5: Solve for x
    x = 240,857,215,678,663,914,160,128/400,713,709,672.02
  6. Step 6: Final answer
    x = 601,070,564,508.02

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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.