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Finding the Fourth Proportional to 708,589,038.80, 989,728,829.20 and 708,589,038.80

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Solution

The fourth proportional to 708,589,038.80, 989,728,829.20 and 708,589,038.80 is: 989,728,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,589,038.80 : 989,728,829.20 = 708,589,038.80 : x
  2. Step 2: Convert to fraction form
    708,589,038.80/989,728,829.20 = 708,589,038.80/x
  3. Step 3: Cross multiply
    708,589,038.80x = 989,728,829.20 × 708,589,038.80
  4. Step 4: Simplify right side
    708,589,038.80x = 701,310,999,755,477,376
  5. Step 5: Solve for x
    x = 701,310,999,755,477,376/708,589,038.80
  6. Step 6: Final answer
    x = 989,728,829.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.