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Finding the Fourth Proportional to 919,492,251.20, 1,290,514,014.40 and 919,492,251.20

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Solution

The fourth proportional to 919,492,251.20, 1,290,514,014.40 and 919,492,251.20 is: 1,290,514,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,492,251.20 : 1,290,514,014.40 = 919,492,251.20 : x
  2. Step 2: Convert to fraction form
    919,492,251.20/1,290,514,014.40 = 919,492,251.20/x
  3. Step 3: Cross multiply
    919,492,251.20x = 1,290,514,014.40 × 919,492,251.20
  4. Step 4: Simplify right side
    919,492,251.20x = 1,186,617,636,305,805,312
  5. Step 5: Solve for x
    x = 1,186,617,636,305,805,312/919,492,251.20
  6. Step 6: Final answer
    x = 1,290,514,014.40

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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.