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Finding the Fourth Proportional to 9,045,903.20, 12,697,856.80 and 9,045,903.20

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Solution

The fourth proportional to 9,045,903.20, 12,697,856.80 and 9,045,903.20 is: 12,697,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045,903.20 : 12,697,856.80 = 9,045,903.20 : x
  2. Step 2: Convert to fraction form
    9,045,903.20/12,697,856.80 = 9,045,903.20/x
  3. Step 3: Cross multiply
    9,045,903.20x = 12,697,856.80 × 9,045,903.20
  4. Step 4: Simplify right side
    9,045,903.20x = 114,863,583,460,261.75
  5. Step 5: Solve for x
    x = 114,863,583,460,261.75/9,045,903.20
  6. Step 6: Final answer
    x = 12,697,856.80

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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.