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Finding the Fourth Proportional to 511,411,415.56, 705,939,676.32 and 335,210,766.10

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Solution

The fourth proportional to 511,411,415.56, 705,939,676.32 and 335,210,766.10 is: 462,716,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,411,415.56 : 705,939,676.32 = 335,210,766.10 : x
  2. Step 2: Convert to fraction form
    511,411,415.56/705,939,676.32 = 335,210,766.10/x
  3. Step 3: Cross multiply
    511,411,415.56x = 705,939,676.32 × 335,210,766.10
  4. Step 4: Simplify right side
    511,411,415.56x = 236,638,579,719,613,248
  5. Step 5: Solve for x
    x = 236,638,579,719,613,248/511,411,415.56
  6. Step 6: Final answer
    x = 462,716,655.36

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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.