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Finding the Fourth Proportional to 210,045,007.70, 315,067,511.55 and 210,045,007.70

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Solution

The fourth proportional to 210,045,007.70, 315,067,511.55 and 210,045,007.70 is: 315,067,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,045,007.70 : 315,067,511.55 = 210,045,007.70 : x
  2. Step 2: Convert to fraction form
    210,045,007.70/315,067,511.55 = 210,045,007.70/x
  3. Step 3: Cross multiply
    210,045,007.70x = 315,067,511.55 × 210,045,007.70
  4. Step 4: Simplify right side
    210,045,007.70x = 66,178,357,889,539,584
  5. Step 5: Solve for x
    x = 66,178,357,889,539,584/210,045,007.70
  6. Step 6: Final answer
    x = 315,067,511.55

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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.