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Finding the Fourth Proportional to 7,648,746.30, 10,727,140.50 and 7,648,746.30

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Solution

The fourth proportional to 7,648,746.30, 10,727,140.50 and 7,648,746.30 is: 10,727,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648,746.30 : 10,727,140.50 = 7,648,746.30 : x
  2. Step 2: Convert to fraction form
    7,648,746.30/10,727,140.50 = 7,648,746.30/x
  3. Step 3: Cross multiply
    7,648,746.30x = 10,727,140.50 × 7,648,746.30
  4. Step 4: Simplify right side
    7,648,746.30x = 82,049,176,208,955.14
  5. Step 5: Solve for x
    x = 82,049,176,208,955.14/7,648,746.30
  6. Step 6: Final answer
    x = 10,727,140.50

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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.