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Finding the Fourth Proportional to 642,142,390.84, 963,616,694.10 and 600,823,837.24

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Solution

The fourth proportional to 642,142,390.84, 963,616,694.10 and 600,823,837.24 is: 901,612,925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,142,390.84 : 963,616,694.10 = 600,823,837.24 : x
  2. Step 2: Convert to fraction form
    642,142,390.84/963,616,694.10 = 600,823,837.24/x
  3. Step 3: Cross multiply
    642,142,390.84x = 963,616,694.10 × 600,823,837.24
  4. Step 4: Simplify right side
    642,142,390.84x = 578,963,879,777,685,248
  5. Step 5: Solve for x
    x = 578,963,879,777,685,248/642,142,390.84
  6. Step 6: Final answer
    x = 901,612,925.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.