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Finding the Fourth Proportional to 6,877,342.40, 10,316,013.60 and 6,877,342.40

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Solution

The fourth proportional to 6,877,342.40, 10,316,013.60 and 6,877,342.40 is: 10,316,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877,342.40 : 10,316,013.60 = 6,877,342.40 : x
  2. Step 2: Convert to fraction form
    6,877,342.40/10,316,013.60 = 6,877,342.40/x
  3. Step 3: Cross multiply
    6,877,342.40x = 10,316,013.60 × 6,877,342.40
  4. Step 4: Simplify right side
    6,877,342.40x = 70,946,757,730,256.64
  5. Step 5: Solve for x
    x = 70,946,757,730,256.64/6,877,342.40
  6. Step 6: Final answer
    x = 10,316,013.60

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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.