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Finding the Fourth Proportional to 10,440,065.70, 14,631,021.90 and 10,440,065.70

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Solution

The fourth proportional to 10,440,065.70, 14,631,021.90 and 10,440,065.70 is: 14,631,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440,065.70 : 14,631,021.90 = 10,440,065.70 : x
  2. Step 2: Convert to fraction form
    10,440,065.70/14,631,021.90 = 10,440,065.70/x
  3. Step 3: Cross multiply
    10,440,065.70x = 14,631,021.90 × 10,440,065.70
  4. Step 4: Simplify right side
    10,440,065.70x = 152,748,829,894,138.81
  5. Step 5: Solve for x
    x = 152,748,829,894,138.81/10,440,065.70
  6. Step 6: Final answer
    x = 14,631,021.90

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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.