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Finding the Fourth Proportional to 878,983,832.48, 1,316,751,899.40 and 509,743,058

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Solution

The fourth proportional to 878,983,832.48, 1,316,751,899.40 and 509,743,058 is: 763,614,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,983,832.48 : 1,316,751,899.40 = 509,743,058 : x
  2. Step 2: Convert to fraction form
    878,983,832.48/1,316,751,899.40 = 509,743,058/x
  3. Step 3: Cross multiply
    878,983,832.48x = 1,316,751,899.40 × 509,743,058
  4. Step 4: Simplify right side
    878,983,832.48x = 671,205,139,827,464,448
  5. Step 5: Solve for x
    x = 671,205,139,827,464,448/878,983,832.48
  6. Step 6: Final answer
    x = 763,614,886.90

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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.