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Finding the Fourth Proportional to 978,049,223.95, 1,467,073,835.93 and 978,049,223.95

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Solution

The fourth proportional to 978,049,223.95, 1,467,073,835.93 and 978,049,223.95 is: 1,467,073,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,049,223.95 : 1,467,073,835.93 = 978,049,223.95 : x
  2. Step 2: Convert to fraction form
    978,049,223.95/1,467,073,835.93 = 978,049,223.95/x
  3. Step 3: Cross multiply
    978,049,223.95x = 1,467,073,835.93 × 978,049,223.95
  4. Step 4: Simplify right side
    978,049,223.95x = 1,434,870,426,708,686,336
  5. Step 5: Solve for x
    x = 1,434,870,426,708,686,336/978,049,223.95
  6. Step 6: Final answer
    x = 1,467,073,835.93

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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.