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Finding the Fourth Proportional to 2,833,869,888,943, 4,250,804,833,414.50 and 2,833,869,888,943

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Solution

The fourth proportional to 2,833,869,888,943, 4,250,804,833,414.50 and 2,833,869,888,943 is: 4,250,804,833,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833,869,888,943 : 4,250,804,833,414.50 = 2,833,869,888,943 : x
  2. Step 2: Convert to fraction form
    2,833,869,888,943/4,250,804,833,414.50 = 2,833,869,888,943/x
  3. Step 3: Cross multiply
    2,833,869,888,943x = 4,250,804,833,414.50 × 2,833,869,888,943
  4. Step 4: Simplify right side
    2,833,869,888,943x = 12,046,227,821,186,717,612,769,280
  5. Step 5: Solve for x
    x = 12,046,227,821,186,717,612,769,280/2,833,869,888,943
  6. Step 6: Final answer
    x = 4,250,804,833,414.50

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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.