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Finding the Fourth Proportional to 600,874,364.76, 899,759,282.76 and 414,702,774.84

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Solution

The fourth proportional to 600,874,364.76, 899,759,282.76 and 414,702,774.84 is: 620,982,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,874,364.76 : 899,759,282.76 = 414,702,774.84 : x
  2. Step 2: Convert to fraction form
    600,874,364.76/899,759,282.76 = 414,702,774.84/x
  3. Step 3: Cross multiply
    600,874,364.76x = 899,759,282.76 × 414,702,774.84
  4. Step 4: Simplify right side
    600,874,364.76x = 373,132,671,248,620,160
  5. Step 5: Solve for x
    x = 373,132,671,248,620,160/600,874,364.76
  6. Step 6: Final answer
    x = 620,982,842.89

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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.