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Finding the Fourth Proportional to 100,941,314.40, 151,411,971.60 and 100,941,314.40

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Solution

The fourth proportional to 100,941,314.40, 151,411,971.60 and 100,941,314.40 is: 151,411,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,941,314.40 : 151,411,971.60 = 100,941,314.40 : x
  2. Step 2: Convert to fraction form
    100,941,314.40/151,411,971.60 = 100,941,314.40/x
  3. Step 3: Cross multiply
    100,941,314.40x = 151,411,971.60 × 100,941,314.40
  4. Step 4: Simplify right side
    100,941,314.40x = 15,283,723,429,199,472
  5. Step 5: Solve for x
    x = 15,283,723,429,199,472/100,941,314.40
  6. Step 6: Final answer
    x = 151,411,971.60

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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.