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Finding the Fourth Proportional to 5,201,898.90, 7,802,848.35 and 5,201,898.90

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Solution

The fourth proportional to 5,201,898.90, 7,802,848.35 and 5,201,898.90 is: 7,802,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201,898.90 : 7,802,848.35 = 5,201,898.90 : x
  2. Step 2: Convert to fraction form
    5,201,898.90/7,802,848.35 = 5,201,898.90/x
  3. Step 3: Cross multiply
    5,201,898.90x = 7,802,848.35 × 5,201,898.90
  4. Step 4: Simplify right side
    5,201,898.90x = 40,589,628,248,731.81
  5. Step 5: Solve for x
    x = 40,589,628,248,731.81/5,201,898.90
  6. Step 6: Final answer
    x = 7,802,848.35

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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.