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Finding the Fourth Proportional to 34,005,729.40, 51,008,594.10 and 34,005,729.40

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Solution

The fourth proportional to 34,005,729.40, 51,008,594.10 and 34,005,729.40 is: 51,008,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005,729.40 : 51,008,594.10 = 34,005,729.40 : x
  2. Step 2: Convert to fraction form
    34,005,729.40/51,008,594.10 = 34,005,729.40/x
  3. Step 3: Cross multiply
    34,005,729.40x = 51,008,594.10 × 34,005,729.40
  4. Step 4: Simplify right side
    34,005,729.40x = 1,734,584,448,039,036.50
  5. Step 5: Solve for x
    x = 1,734,584,448,039,036.50/34,005,729.40
  6. Step 6: Final answer
    x = 51,008,594.10

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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.