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Finding the Fourth Proportional to 484,958,144.10, 727,437,216.15 and 484,958,144.10

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Solution

The fourth proportional to 484,958,144.10, 727,437,216.15 and 484,958,144.10 is: 727,437,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,958,144.10 : 727,437,216.15 = 484,958,144.10 : x
  2. Step 2: Convert to fraction form
    484,958,144.10/727,437,216.15 = 484,958,144.10/x
  3. Step 3: Cross multiply
    484,958,144.10x = 727,437,216.15 × 484,958,144.10
  4. Step 4: Simplify right side
    484,958,144.10x = 352,776,602,293,374,528
  5. Step 5: Solve for x
    x = 352,776,602,293,374,528/484,958,144.10
  6. Step 6: Final answer
    x = 727,437,216.15

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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.