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Finding the Fourth Proportional to 524,264,881.60, 786,397,322.40 and 361,006,206.40

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Solution

The fourth proportional to 524,264,881.60, 786,397,322.40 and 361,006,206.40 is: 541,509,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,264,881.60 : 786,397,322.40 = 361,006,206.40 : x
  2. Step 2: Convert to fraction form
    524,264,881.60/786,397,322.40 = 361,006,206.40/x
  3. Step 3: Cross multiply
    524,264,881.60x = 786,397,322.40 × 361,006,206.40
  4. Step 4: Simplify right side
    524,264,881.60x = 283,894,314,082,741,728
  5. Step 5: Solve for x
    x = 283,894,314,082,741,728/524,264,881.60
  6. Step 6: Final answer
    x = 541,509,309.60

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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.