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Finding the Fourth Proportional to 994,775,249.76, 1,492,165,674 and 381,547,448.16

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Solution

The fourth proportional to 994,775,249.76, 1,492,165,674 and 381,547,448.16 is: 572,322,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,775,249.76 : 1,492,165,674 = 381,547,448.16 : x
  2. Step 2: Convert to fraction form
    994,775,249.76/1,492,165,674 = 381,547,448.16/x
  3. Step 3: Cross multiply
    994,775,249.76x = 1,492,165,674 × 381,547,448.16
  4. Step 4: Simplify right side
    994,775,249.76x = 569,332,005,146,646,528
  5. Step 5: Solve for x
    x = 569,332,005,146,646,528/994,775,249.76
  6. Step 6: Final answer
    x = 572,322,245.94

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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.