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Finding the Fourth Proportional to 106,292,064.20, 159,154,661.10 and 106,292,064.20

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Solution

The fourth proportional to 106,292,064.20, 159,154,661.10 and 106,292,064.20 is: 159,154,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,292,064.20 : 159,154,661.10 = 106,292,064.20 : x
  2. Step 2: Convert to fraction form
    106,292,064.20/159,154,661.10 = 106,292,064.20/x
  3. Step 3: Cross multiply
    106,292,064.20x = 159,154,661.10 × 106,292,064.20
  4. Step 4: Simplify right side
    106,292,064.20x = 16,916,877,455,370,442
  5. Step 5: Solve for x
    x = 16,916,877,455,370,442/106,292,064.20
  6. Step 6: Final answer
    x = 159,154,661.10

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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.