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Finding the Fourth Proportional to 2,077,070.90, 2,912,098.30 and 2,077,070.90

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Solution

The fourth proportional to 2,077,070.90, 2,912,098.30 and 2,077,070.90 is: 2,912,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,070.90 : 2,912,098.30 = 2,077,070.90 : x
  2. Step 2: Convert to fraction form
    2,077,070.90/2,912,098.30 = 2,077,070.90/x
  3. Step 3: Cross multiply
    2,077,070.90x = 2,912,098.30 × 2,077,070.90
  4. Step 4: Simplify right side
    2,077,070.90x = 6,048,634,636,869.47
  5. Step 5: Solve for x
    x = 6,048,634,636,869.47/2,077,070.90
  6. Step 6: Final answer
    x = 2,912,098.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.