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Finding the Fourth Proportional to 7,852,820.40, 11,779,230.60 and 7,852,820.40

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Solution

The fourth proportional to 7,852,820.40, 11,779,230.60 and 7,852,820.40 is: 11,779,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852,820.40 : 11,779,230.60 = 7,852,820.40 : x
  2. Step 2: Convert to fraction form
    7,852,820.40/11,779,230.60 = 7,852,820.40/x
  3. Step 3: Cross multiply
    7,852,820.40x = 11,779,230.60 × 7,852,820.40
  4. Step 4: Simplify right side
    7,852,820.40x = 92,500,182,351,984.23
  5. Step 5: Solve for x
    x = 92,500,182,351,984.23/7,852,820.40
  6. Step 6: Final answer
    x = 11,779,230.60

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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.