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Finding the Fourth Proportional to 491,340,411,036.22, 737,010,616,554.35 and 491,340,411,036.22

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Solution

The fourth proportional to 491,340,411,036.22, 737,010,616,554.35 and 491,340,411,036.22 is: 737,010,616,554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,340,411,036.22 : 737,010,616,554.35 = 491,340,411,036.22 : x
  2. Step 2: Convert to fraction form
    491,340,411,036.22/737,010,616,554.35 = 491,340,411,036.22/x
  3. Step 3: Cross multiply
    491,340,411,036.22x = 737,010,616,554.35 × 491,340,411,036.22
  4. Step 4: Simplify right side
    491,340,411,036.22x = 362,123,099,275,872,190,857,216
  5. Step 5: Solve for x
    x = 362,123,099,275,872,190,857,216/491,340,411,036.22
  6. Step 6: Final answer
    x = 737,010,616,554.35

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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.