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Finding the Fourth Proportional to 512,249,197.14, 768,395,053.32 and 148,743,553.14

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Solution

The fourth proportional to 512,249,197.14, 768,395,053.32 and 148,743,553.14 is: 223,121,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,249,197.14 : 768,395,053.32 = 148,743,553.14 : x
  2. Step 2: Convert to fraction form
    512,249,197.14/768,395,053.32 = 148,743,553.14/x
  3. Step 3: Cross multiply
    512,249,197.14x = 768,395,053.32 × 148,743,553.14
  4. Step 4: Simplify right side
    512,249,197.14x = 114,293,810,446,016,544
  5. Step 5: Solve for x
    x = 114,293,810,446,016,544/512,249,197.14
  6. Step 6: Final answer
    x = 223,121,502.35

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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.