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Finding the Fourth Proportional to 358,769,219.40, 502,617,029.40 and 358,769,219.40

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Solution

The fourth proportional to 358,769,219.40, 502,617,029.40 and 358,769,219.40 is: 502,617,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,769,219.40 : 502,617,029.40 = 358,769,219.40 : x
  2. Step 2: Convert to fraction form
    358,769,219.40/502,617,029.40 = 358,769,219.40/x
  3. Step 3: Cross multiply
    358,769,219.40x = 502,617,029.40 × 358,769,219.40
  4. Step 4: Simplify right side
    358,769,219.40x = 180,323,519,294,984,832
  5. Step 5: Solve for x
    x = 180,323,519,294,984,832/358,769,219.40
  6. Step 6: Final answer
    x = 502,617,029.40

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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.