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Finding the Fourth Proportional to 2,833,869,891,799.70, 4,250,804,837,699.50 and 2,833,869,891,799.70

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Solution

The fourth proportional to 2,833,869,891,799.70, 4,250,804,837,699.50 and 2,833,869,891,799.70 is: 4,250,804,837,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833,869,891,799.70 : 4,250,804,837,699.50 = 2,833,869,891,799.70 : x
  2. Step 2: Convert to fraction form
    2,833,869,891,799.70/4,250,804,837,699.50 = 2,833,869,891,799.70/x
  3. Step 3: Cross multiply
    2,833,869,891,799.70x = 4,250,804,837,699.50 × 2,833,869,891,799.70
  4. Step 4: Simplify right side
    2,833,869,891,799.70x = 12,046,227,845,473,123,436,593,152
  5. Step 5: Solve for x
    x = 12,046,227,845,473,123,436,593,152/2,833,869,891,799.70
  6. Step 6: Final answer
    x = 4,250,804,837,699.50

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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.