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Finding the Fourth Proportional to 22,015,845,344.40, 30,909,254,775.60 and 22,015,845,344.40

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Solution

The fourth proportional to 22,015,845,344.40, 30,909,254,775.60 and 22,015,845,344.40 is: 30,909,254,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,015,845,344.40 : 30,909,254,775.60 = 22,015,845,344.40 : x
  2. Step 2: Convert to fraction form
    22,015,845,344.40/30,909,254,775.60 = 22,015,845,344.40/x
  3. Step 3: Cross multiply
    22,015,845,344.40x = 30,909,254,775.60 × 22,015,845,344.40
  4. Step 4: Simplify right side
    22,015,845,344.40x = 680,493,372,850,266,701,824
  5. Step 5: Solve for x
    x = 680,493,372,850,266,701,824/22,015,845,344.40
  6. Step 6: Final answer
    x = 30,909,254,775.60

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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.