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Finding the Fourth Proportional to 403,622,427.70, 565,454,036.30 and 403,622,427.70

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Solution

The fourth proportional to 403,622,427.70, 565,454,036.30 and 403,622,427.70 is: 565,454,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,622,427.70 : 565,454,036.30 = 403,622,427.70 : x
  2. Step 2: Convert to fraction form
    403,622,427.70/565,454,036.30 = 403,622,427.70/x
  3. Step 3: Cross multiply
    403,622,427.70x = 565,454,036.30 × 403,622,427.70
  4. Step 4: Simplify right side
    403,622,427.70x = 228,229,930,884,169,888
  5. Step 5: Solve for x
    x = 228,229,930,884,169,888/403,622,427.70
  6. Step 6: Final answer
    x = 565,454,036.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.