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Finding the Fourth Proportional to 563,599,093.60, 845,398,640.40 and 409,920,450.40

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Solution

The fourth proportional to 563,599,093.60, 845,398,640.40 and 409,920,450.40 is: 614,880,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,599,093.60 : 845,398,640.40 = 409,920,450.40 : x
  2. Step 2: Convert to fraction form
    563,599,093.60/845,398,640.40 = 409,920,450.40/x
  3. Step 3: Cross multiply
    563,599,093.60x = 845,398,640.40 × 409,920,450.40
  4. Step 4: Simplify right side
    563,599,093.60x = 346,546,191,440,315,584
  5. Step 5: Solve for x
    x = 346,546,191,440,315,584/563,599,093.60
  6. Step 6: Final answer
    x = 614,880,675.60

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1.5x scale

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.