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Finding the Fourth Proportional to 590,978,853.10, 886,468,279.65 and 346,090,840.30

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Solution

The fourth proportional to 590,978,853.10, 886,468,279.65 and 346,090,840.30 is: 519,136,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,978,853.10 : 886,468,279.65 = 346,090,840.30 : x
  2. Step 2: Convert to fraction form
    590,978,853.10/886,468,279.65 = 346,090,840.30/x
  3. Step 3: Cross multiply
    590,978,853.10x = 886,468,279.65 × 346,090,840.30
  4. Step 4: Simplify right side
    590,978,853.10x = 306,798,551,803,363,904
  5. Step 5: Solve for x
    x = 306,798,551,803,363,904/590,978,853.10
  6. Step 6: Final answer
    x = 519,136,260.45

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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.