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Finding the Fourth Proportional to 101,467,944,101.40, 152,201,916,152.12 and 101,467,944,101.40

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Solution

The fourth proportional to 101,467,944,101.40, 152,201,916,152.12 and 101,467,944,101.40 is: 152,201,916,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,467,944,101.40 : 152,201,916,152.12 = 101,467,944,101.40 : x
  2. Step 2: Convert to fraction form
    101,467,944,101.40/152,201,916,152.12 = 101,467,944,101.40/x
  3. Step 3: Cross multiply
    101,467,944,101.40x = 152,201,916,152.12 × 101,467,944,101.40
  4. Step 4: Simplify right side
    101,467,944,101.40x = 15,443,615,520,249,280,987,136
  5. Step 5: Solve for x
    x = 15,443,615,520,249,280,987,136/101,467,944,101.40
  6. Step 6: Final answer
    x = 152,201,916,152.12

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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.