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Finding the Fourth Proportional to 802,357,356.30, 1,121,004,473.70 and 802,357,356.30

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Solution

The fourth proportional to 802,357,356.30, 1,121,004,473.70 and 802,357,356.30 is: 1,121,004,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,357,356.30 : 1,121,004,473.70 = 802,357,356.30 : x
  2. Step 2: Convert to fraction form
    802,357,356.30/1,121,004,473.70 = 802,357,356.30/x
  3. Step 3: Cross multiply
    802,357,356.30x = 1,121,004,473.70 × 802,357,356.30
  4. Step 4: Simplify right side
    802,357,356.30x = 899,446,185,918,404,864
  5. Step 5: Solve for x
    x = 899,446,185,918,404,864/802,357,356.30
  6. Step 6: Final answer
    x = 1,121,004,473.70

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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.