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Finding the Fourth Proportional to 375,623,851,230.20, 563,435,776,845.30 and 375,623,851,230.20

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Solution

The fourth proportional to 375,623,851,230.20, 563,435,776,845.30 and 375,623,851,230.20 is: 563,435,776,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,623,851,230.20 : 563,435,776,845.30 = 375,623,851,230.20 : x
  2. Step 2: Convert to fraction form
    375,623,851,230.20/563,435,776,845.30 = 375,623,851,230.20/x
  3. Step 3: Cross multiply
    375,623,851,230.20x = 563,435,776,845.30 × 375,623,851,230.20
  4. Step 4: Simplify right side
    375,623,851,230.20x = 211,639,916,419,511,153,065,984
  5. Step 5: Solve for x
    x = 211,639,916,419,511,153,065,984/375,623,851,230.20
  6. Step 6: Final answer
    x = 563,435,776,845.30

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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.