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Finding the Fourth Proportional to 97,785,468,043.40, 146,678,202,065.12 and 97,785,468,043.40

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Solution

The fourth proportional to 97,785,468,043.40, 146,678,202,065.12 and 97,785,468,043.40 is: 146,678,202,065.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785,468,043.40 : 146,678,202,065.12 = 97,785,468,043.40 : x
  2. Step 2: Convert to fraction form
    97,785,468,043.40/146,678,202,065.12 = 97,785,468,043.40/x
  3. Step 3: Cross multiply
    97,785,468,043.40x = 146,678,202,065.12 × 97,785,468,043.40
  4. Step 4: Simplify right side
    97,785,468,043.40x = 14,342,996,640,702,157,291,520
  5. Step 5: Solve for x
    x = 14,342,996,640,702,157,291,520/97,785,468,043.40
  6. Step 6: Final answer
    x = 146,678,202,065.12

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Double scale
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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.