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Finding the Fourth Proportional to 2,943,679,841,867.70, 4,415,519,762,801.60 and 2,943,679,841,867.70

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Solution

The fourth proportional to 2,943,679,841,867.70, 4,415,519,762,801.60 and 2,943,679,841,867.70 is: 4,415,519,762,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943,679,841,867.70 : 4,415,519,762,801.60 = 2,943,679,841,867.70 : x
  2. Step 2: Convert to fraction form
    2,943,679,841,867.70/4,415,519,762,801.60 = 2,943,679,841,867.70/x
  3. Step 3: Cross multiply
    2,943,679,841,867.70x = 4,415,519,762,801.60 × 2,943,679,841,867.70
  4. Step 4: Simplify right side
    2,943,679,841,867.70x = 12,997,876,517,127,517,038,968,832
  5. Step 5: Solve for x
    x = 12,997,876,517,127,517,038,968,832/2,943,679,841,867.70
  6. Step 6: Final answer
    x = 4,415,519,762,801.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.