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Finding the Fourth Proportional to 12,240,546,098.40, 17,169,416,272.80 and 12,240,546,098.40

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Solution

The fourth proportional to 12,240,546,098.40, 17,169,416,272.80 and 12,240,546,098.40 is: 17,169,416,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,240,546,098.40 : 17,169,416,272.80 = 12,240,546,098.40 : x
  2. Step 2: Convert to fraction form
    12,240,546,098.40/17,169,416,272.80 = 12,240,546,098.40/x
  3. Step 3: Cross multiply
    12,240,546,098.40x = 17,169,416,272.80 × 12,240,546,098.40
  4. Step 4: Simplify right side
    12,240,546,098.40x = 210,163,031,369,827,483,648
  5. Step 5: Solve for x
    x = 210,163,031,369,827,483,648/12,240,546,098.40
  6. Step 6: Final answer
    x = 17,169,416,272.80

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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.