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Finding the Fourth Proportional to 629,871,746.80, 941,784,311.40 and 466,613,071.60

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Solution

The fourth proportional to 629,871,746.80, 941,784,311.40 and 466,613,071.60 is: 697,679,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,871,746.80 : 941,784,311.40 = 466,613,071.60 : x
  2. Step 2: Convert to fraction form
    629,871,746.80/941,784,311.40 = 466,613,071.60/x
  3. Step 3: Cross multiply
    629,871,746.80x = 941,784,311.40 × 466,613,071.60
  4. Step 4: Simplify right side
    629,871,746.80x = 439,448,870,327,044,928
  5. Step 5: Solve for x
    x = 439,448,870,327,044,928/629,871,746.80
  6. Step 6: Final answer
    x = 697,679,920.65

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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.