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Finding the Fourth Proportional to 2,003,347,366,943.70, 3,005,021,050,415.50 and 2,003,347,366,943.70

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Solution

The fourth proportional to 2,003,347,366,943.70, 3,005,021,050,415.50 and 2,003,347,366,943.70 is: 3,005,021,050,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,347,366,943.70 : 3,005,021,050,415.50 = 2,003,347,366,943.70 : x
  2. Step 2: Convert to fraction form
    2,003,347,366,943.70/3,005,021,050,415.50 = 2,003,347,366,943.70/x
  3. Step 3: Cross multiply
    2,003,347,366,943.70x = 3,005,021,050,415.50 × 2,003,347,366,943.70
  4. Step 4: Simplify right side
    2,003,347,366,943.70x = 6,020,101,008,960,283,364,818,944
  5. Step 5: Solve for x
    x = 6,020,101,008,960,283,364,818,944/2,003,347,366,943.70
  6. Step 6: Final answer
    x = 3,005,021,050,415.50

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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.