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Finding the Fourth Proportional to 816,141,720.40, 1,145,017,055.60 and 816,141,720.40

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Solution

The fourth proportional to 816,141,720.40, 1,145,017,055.60 and 816,141,720.40 is: 1,145,017,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,141,720.40 : 1,145,017,055.60 = 816,141,720.40 : x
  2. Step 2: Convert to fraction form
    816,141,720.40/1,145,017,055.60 = 816,141,720.40/x
  3. Step 3: Cross multiply
    816,141,720.40x = 1,145,017,055.60 × 816,141,720.40
  4. Step 4: Simplify right side
    816,141,720.40x = 934,496,189,644,726,400
  5. Step 5: Solve for x
    x = 934,496,189,644,726,400/816,141,720.40
  6. Step 6: Final answer
    x = 1,145,017,055.60

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1.5x scale

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.