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Finding the Fourth Proportional to 10,109,476.40, 14,178,461.20 and 10,109,476.40

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Solution

The fourth proportional to 10,109,476.40, 14,178,461.20 and 10,109,476.40 is: 14,178,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109,476.40 : 14,178,461.20 = 10,109,476.40 : x
  2. Step 2: Convert to fraction form
    10,109,476.40/14,178,461.20 = 10,109,476.40/x
  3. Step 3: Cross multiply
    10,109,476.40x = 14,178,461.20 × 10,109,476.40
  4. Step 4: Simplify right side
    10,109,476.40x = 143,336,818,889,715.69
  5. Step 5: Solve for x
    x = 143,336,818,889,715.69/10,109,476.40
  6. Step 6: Final answer
    x = 14,178,461.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.