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Finding the Fourth Proportional to 250,415,901,280.80, 375,623,851,921.20 and 250,415,901,280.80

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Solution

The fourth proportional to 250,415,901,280.80, 375,623,851,921.20 and 250,415,901,280.80 is: 375,623,851,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,415,901,280.80 : 375,623,851,921.20 = 250,415,901,280.80 : x
  2. Step 2: Convert to fraction form
    250,415,901,280.80/375,623,851,921.20 = 250,415,901,280.80/x
  3. Step 3: Cross multiply
    250,415,901,280.80x = 375,623,851,921.20 × 250,415,901,280.80
  4. Step 4: Simplify right side
    250,415,901,280.80x = 94,062,185,421,413,057,298,432
  5. Step 5: Solve for x
    x = 94,062,185,421,413,057,298,432/250,415,901,280.80
  6. Step 6: Final answer
    x = 375,623,851,921.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.