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Finding the Fourth Proportional to 5,740,416,100.40, 8,042,024,496.40 and 5,740,416,100.40

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Solution

The fourth proportional to 5,740,416,100.40, 8,042,024,496.40 and 5,740,416,100.40 is: 8,042,024,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,416,100.40 : 8,042,024,496.40 = 5,740,416,100.40 : x
  2. Step 2: Convert to fraction form
    5,740,416,100.40/8,042,024,496.40 = 5,740,416,100.40/x
  3. Step 3: Cross multiply
    5,740,416,100.40x = 8,042,024,496.40 × 5,740,416,100.40
  4. Step 4: Simplify right side
    5,740,416,100.40x = 46,164,566,898,945,753,088
  5. Step 5: Solve for x
    x = 46,164,566,898,945,753,088/5,740,416,100.40
  6. Step 6: Final answer
    x = 8,042,024,496.40

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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.