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Finding the Fourth Proportional to 456,236,443.80, 684,354,665.70 and 429,362,587.80

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Solution

The fourth proportional to 456,236,443.80, 684,354,665.70 and 429,362,587.80 is: 644,043,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,236,443.80 : 684,354,665.70 = 429,362,587.80 : x
  2. Step 2: Convert to fraction form
    456,236,443.80/684,354,665.70 = 429,362,587.80/x
  3. Step 3: Cross multiply
    456,236,443.80x = 684,354,665.70 × 429,362,587.80
  4. Step 4: Simplify right side
    456,236,443.80x = 293,836,290,237,955,904
  5. Step 5: Solve for x
    x = 293,836,290,237,955,904/456,236,443.80
  6. Step 6: Final answer
    x = 644,043,881.70

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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.