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Finding the Fourth Proportional to 654,864,514.56, 903,707,487.36 and 361,502,784

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Solution

The fourth proportional to 654,864,514.56, 903,707,487.36 and 361,502,784 is: 498,870,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,864,514.56 : 903,707,487.36 = 361,502,784 : x
  2. Step 2: Convert to fraction form
    654,864,514.56/903,707,487.36 = 361,502,784/x
  3. Step 3: Cross multiply
    654,864,514.56x = 903,707,487.36 × 361,502,784
  4. Step 4: Simplify right side
    654,864,514.56x = 326,692,772,602,284,800
  5. Step 5: Solve for x
    x = 326,692,772,602,284,800/654,864,514.56
  6. Step 6: Final answer
    x = 498,870,782.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.