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Finding the Fourth Proportional to 25,509,187,746.80, 35,630,213,141.20 and 25,509,187,746.80

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Solution

The fourth proportional to 25,509,187,746.80, 35,630,213,141.20 and 25,509,187,746.80 is: 35,630,213,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509,187,746.80 : 35,630,213,141.20 = 25,509,187,746.80 : x
  2. Step 2: Convert to fraction form
    25,509,187,746.80/35,630,213,141.20 = 25,509,187,746.80/x
  3. Step 3: Cross multiply
    25,509,187,746.80x = 35,630,213,141.20 × 25,509,187,746.80
  4. Step 4: Simplify right side
    25,509,187,746.80x = 908,897,796,477,371,285,504
  5. Step 5: Solve for x
    x = 908,897,796,477,371,285,504/25,509,187,746.80
  6. Step 6: Final answer
    x = 35,630,213,141.20

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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.