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Finding the Fourth Proportional to 284,241,618.40, 426,362,427.60 and 284,241,618.40

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Solution

The fourth proportional to 284,241,618.40, 426,362,427.60 and 284,241,618.40 is: 426,362,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,241,618.40 : 426,362,427.60 = 284,241,618.40 : x
  2. Step 2: Convert to fraction form
    284,241,618.40/426,362,427.60 = 284,241,618.40/x
  3. Step 3: Cross multiply
    284,241,618.40x = 426,362,427.60 × 284,241,618.40
  4. Step 4: Simplify right side
    284,241,618.40x = 121,189,946,445,976,832
  5. Step 5: Solve for x
    x = 121,189,946,445,976,832/284,241,618.40
  6. Step 6: Final answer
    x = 426,362,427.60

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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.