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Finding the Fourth Proportional to 59,049,084.65, 82,477,399.75 and 59,049,084.65

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Solution

The fourth proportional to 59,049,084.65, 82,477,399.75 and 59,049,084.65 is: 82,477,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,049,084.65 : 82,477,399.75 = 59,049,084.65 : x
  2. Step 2: Convert to fraction form
    59,049,084.65/82,477,399.75 = 59,049,084.65/x
  3. Step 3: Cross multiply
    59,049,084.65x = 82,477,399.75 × 59,049,084.65
  4. Step 4: Simplify right side
    59,049,084.65x = 4,870,214,959,549,639
  5. Step 5: Solve for x
    x = 4,870,214,959,549,639/59,049,084.65
  6. Step 6: Final answer
    x = 82,477,399.75

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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.