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Finding the Fourth Proportional to 697,859,093.76, 963,049,373.28 and 400,477,689.60

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Solution

The fourth proportional to 697,859,093.76, 963,049,373.28 and 400,477,689.60 is: 552,661,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,859,093.76 : 963,049,373.28 = 400,477,689.60 : x
  2. Step 2: Convert to fraction form
    697,859,093.76/963,049,373.28 = 400,477,689.60/x
  3. Step 3: Cross multiply
    697,859,093.76x = 963,049,373.28 × 400,477,689.60
  4. Step 4: Simplify right side
    697,859,093.76x = 385,679,787,981,902,400
  5. Step 5: Solve for x
    x = 385,679,787,981,902,400/697,859,093.76
  6. Step 6: Final answer
    x = 552,661,406.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.