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Finding the Fourth Proportional to 377,963,172,003.40, 566,944,758,005.10 and 377,963,172,003.40

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Solution

The fourth proportional to 377,963,172,003.40, 566,944,758,005.10 and 377,963,172,003.40 is: 566,944,758,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,963,172,003.40 : 566,944,758,005.10 = 377,963,172,003.40 : x
  2. Step 2: Convert to fraction form
    377,963,172,003.40/566,944,758,005.10 = 377,963,172,003.40/x
  3. Step 3: Cross multiply
    377,963,172,003.40x = 566,944,758,005.10 × 377,963,172,003.40
  4. Step 4: Simplify right side
    377,963,172,003.40x = 214,284,239,086,307,602,595,840
  5. Step 5: Solve for x
    x = 214,284,239,086,307,602,595,840/377,963,172,003.40
  6. Step 6: Final answer
    x = 566,944,758,005.10

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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.