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Finding the Fourth Proportional to 10,571,847.40, 15,822,341.70 and 10,571,847.40

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Solution

The fourth proportional to 10,571,847.40, 15,822,341.70 and 10,571,847.40 is: 15,822,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571,847.40 : 15,822,341.70 = 10,571,847.40 : x
  2. Step 2: Convert to fraction form
    10,571,847.40/15,822,341.70 = 10,571,847.40/x
  3. Step 3: Cross multiply
    10,571,847.40x = 15,822,341.70 × 10,571,847.40
  4. Step 4: Simplify right side
    10,571,847.40x = 167,271,381,963,056.56
  5. Step 5: Solve for x
    x = 167,271,381,963,056.56/10,571,847.40
  6. Step 6: Final answer
    x = 15,822,341.70

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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.