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Finding the Fourth Proportional to 706,857,237.94, 1,059,931,120 and 411,847,695.80

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Solution

The fourth proportional to 706,857,237.94, 1,059,931,120 and 411,847,695.80 is: 617,564,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,857,237.94 : 1,059,931,120 = 411,847,695.80 : x
  2. Step 2: Convert to fraction form
    706,857,237.94/1,059,931,120 = 411,847,695.80/x
  3. Step 3: Cross multiply
    706,857,237.94x = 1,059,931,120 × 411,847,695.80
  4. Step 4: Simplify right side
    706,857,237.94x = 436,530,189,478,713,280
  5. Step 5: Solve for x
    x = 436,530,189,478,713,280/706,857,237.94
  6. Step 6: Final answer
    x = 617,564,857.58

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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.