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Finding the Fourth Proportional to 906,026,304.74, 1,358,158,055.16 and 433,202,477.01

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Solution

The fourth proportional to 906,026,304.74, 1,358,158,055.16 and 433,202,477.01 is: 649,382,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,026,304.74 : 1,358,158,055.16 = 433,202,477.01 : x
  2. Step 2: Convert to fraction form
    906,026,304.74/1,358,158,055.16 = 433,202,477.01/x
  3. Step 3: Cross multiply
    906,026,304.74x = 1,358,158,055.16 × 433,202,477.01
  4. Step 4: Simplify right side
    906,026,304.74x = 588,357,433,662,905,984
  5. Step 5: Solve for x
    x = 588,357,433,662,905,984/906,026,304.74
  6. Step 6: Final answer
    x = 649,382,286.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.