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Finding the Fourth Proportional to 10,286,390.70, 14,382,051.30 and 10,286,390.70

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Solution

The fourth proportional to 10,286,390.70, 14,382,051.30 and 10,286,390.70 is: 14,382,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286,390.70 : 14,382,051.30 = 10,286,390.70 : x
  2. Step 2: Convert to fraction form
    10,286,390.70/14,382,051.30 = 10,286,390.70/x
  3. Step 3: Cross multiply
    10,286,390.70x = 14,382,051.30 × 10,286,390.70
  4. Step 4: Simplify right side
    10,286,390.70x = 147,939,398,739,242.91
  5. Step 5: Solve for x
    x = 147,939,398,739,242.91/10,286,390.70
  6. Step 6: Final answer
    x = 14,382,051.30

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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.