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Finding the Fourth Proportional to 375,338,448,006.45, 563,007,672,009.70 and 375,338,448,006.45

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Solution

The fourth proportional to 375,338,448,006.45, 563,007,672,009.70 and 375,338,448,006.45 is: 563,007,672,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,338,448,006.45 : 563,007,672,009.70 = 375,338,448,006.45 : x
  2. Step 2: Convert to fraction form
    375,338,448,006.45/563,007,672,009.70 = 375,338,448,006.45/x
  3. Step 3: Cross multiply
    375,338,448,006.45x = 563,007,672,009.70 × 375,338,448,006.45
  4. Step 4: Simplify right side
    375,338,448,006.45x = 211,318,425,827,845,221,646,336
  5. Step 5: Solve for x
    x = 211,318,425,827,845,221,646,336/375,338,448,006.45
  6. Step 6: Final answer
    x = 563,007,672,009.70

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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.