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Finding the Fourth Proportional to 2,281,189,968,307.70, 3,421,784,952,461.50 and 2,281,189,968,307.70

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Solution

The fourth proportional to 2,281,189,968,307.70, 3,421,784,952,461.50 and 2,281,189,968,307.70 is: 3,421,784,952,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,189,968,307.70 : 3,421,784,952,461.50 = 2,281,189,968,307.70 : x
  2. Step 2: Convert to fraction form
    2,281,189,968,307.70/3,421,784,952,461.50 = 2,281,189,968,307.70/x
  3. Step 3: Cross multiply
    2,281,189,968,307.70x = 3,421,784,952,461.50 × 2,281,189,968,307.70
  4. Step 4: Simplify right side
    2,281,189,968,307.70x = 7,805,741,507,261,415,102,087,168
  5. Step 5: Solve for x
    x = 7,805,741,507,261,415,102,087,168/2,281,189,968,307.70
  6. Step 6: Final answer
    x = 3,421,784,952,461.50

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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.