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Finding the Fourth Proportional to 10,865,718.30, 16,298,577.46 and 10,865,718.30

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Solution

The fourth proportional to 10,865,718.30, 16,298,577.46 and 10,865,718.30 is: 16,298,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,718.30 : 16,298,577.46 = 10,865,718.30 : x
  2. Step 2: Convert to fraction form
    10,865,718.30/16,298,577.46 = 10,865,718.30/x
  3. Step 3: Cross multiply
    10,865,718.30x = 16,298,577.46 × 10,865,718.30
  4. Step 4: Simplify right side
    10,865,718.30x = 177,095,751,371,089.53
  5. Step 5: Solve for x
    x = 177,095,751,371,089.53/10,865,718.30
  6. Step 6: Final answer
    x = 16,298,577.46

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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.