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Finding the Fourth Proportional to 518,718,009.70, 778,077,014.55 and 518,718,009.70

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Solution

The fourth proportional to 518,718,009.70, 778,077,014.55 and 518,718,009.70 is: 778,077,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,718,009.70 : 778,077,014.55 = 518,718,009.70 : x
  2. Step 2: Convert to fraction form
    518,718,009.70/778,077,014.55 = 518,718,009.70/x
  3. Step 3: Cross multiply
    518,718,009.70x = 778,077,014.55 × 518,718,009.70
  4. Step 4: Simplify right side
    518,718,009.70x = 403,602,560,380,693,888
  5. Step 5: Solve for x
    x = 403,602,560,380,693,888/518,718,009.70
  6. Step 6: Final answer
    x = 778,077,014.55

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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.