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Finding the Fourth Proportional to 456,599,703.60, 684,395,670.60 and 252,274,417.20

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Solution

The fourth proportional to 456,599,703.60, 684,395,670.60 and 252,274,417.20 is: 378,133,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,599,703.60 : 684,395,670.60 = 252,274,417.20 : x
  2. Step 2: Convert to fraction form
    456,599,703.60/684,395,670.60 = 252,274,417.20/x
  3. Step 3: Cross multiply
    456,599,703.60x = 684,395,670.60 × 252,274,417.20
  4. Step 4: Simplify right side
    456,599,703.60x = 172,655,518,934,818,176
  5. Step 5: Solve for x
    x = 172,655,518,934,818,176/456,599,703.60
  6. Step 6: Final answer
    x = 378,133,226.05

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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.