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Finding the Fourth Proportional to 703,162,442.26, 1,054,640,994 and 205,039,102.42

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Solution

The fourth proportional to 703,162,442.26, 1,054,640,994 and 205,039,102.42 is: 307,528,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,162,442.26 : 1,054,640,994 = 205,039,102.42 : x
  2. Step 2: Convert to fraction form
    703,162,442.26/1,054,640,994 = 205,039,102.42/x
  3. Step 3: Cross multiply
    703,162,442.26x = 1,054,640,994 × 205,039,102.42
  4. Step 4: Simplify right side
    703,162,442.26x = 216,242,642,785,096,576
  5. Step 5: Solve for x
    x = 216,242,642,785,096,576/703,162,442.26
  6. Step 6: Final answer
    x = 307,528,715.68

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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.