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Finding the Fourth Proportional to 102,065,114.70, 153,097,672.05 and 102,065,114.70

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Solution

The fourth proportional to 102,065,114.70, 153,097,672.05 and 102,065,114.70 is: 153,097,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,065,114.70 : 153,097,672.05 = 102,065,114.70 : x
  2. Step 2: Convert to fraction form
    102,065,114.70/153,097,672.05 = 102,065,114.70/x
  3. Step 3: Cross multiply
    102,065,114.70x = 153,097,672.05 × 102,065,114.70
  4. Step 4: Simplify right side
    102,065,114.70x = 15,625,931,458,086,236
  5. Step 5: Solve for x
    x = 15,625,931,458,086,236/102,065,114.70
  6. Step 6: Final answer
    x = 153,097,672.05

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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.