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Finding the Fourth Proportional to 816,141,750.40, 1,145,017,097.60 and 816,141,750.40

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Solution

The fourth proportional to 816,141,750.40, 1,145,017,097.60 and 816,141,750.40 is: 1,145,017,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,141,750.40 : 1,145,017,097.60 = 816,141,750.40 : x
  2. Step 2: Convert to fraction form
    816,141,750.40/1,145,017,097.60 = 816,141,750.40/x
  3. Step 3: Cross multiply
    816,141,750.40x = 1,145,017,097.60 × 816,141,750.40
  4. Step 4: Simplify right side
    816,141,750.40x = 934,496,258,273,191,552
  5. Step 5: Solve for x
    x = 934,496,258,273,191,552/816,141,750.40
  6. Step 6: Final answer
    x = 1,145,017,097.60

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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.