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Finding the Fourth Proportional to 408,147,492,047.60, 611,119,242,013.80 and 408,147,492,047.60

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Solution

The fourth proportional to 408,147,492,047.60, 611,119,242,013.80 and 408,147,492,047.60 is: 611,119,242,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,147,492,047.60 : 611,119,242,013.80 = 408,147,492,047.60 : x
  2. Step 2: Convert to fraction form
    408,147,492,047.60/611,119,242,013.80 = 408,147,492,047.60/x
  3. Step 3: Cross multiply
    408,147,492,047.60x = 611,119,242,013.80 × 408,147,492,047.60
  4. Step 4: Simplify right side
    408,147,492,047.60x = 249,426,785,969,962,785,701,888
  5. Step 5: Solve for x
    x = 249,426,785,969,962,785,701,888/408,147,492,047.60
  6. Step 6: Final answer
    x = 611,119,242,013.80

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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.