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Finding the Fourth Proportional to 434,413,336,502.65, 651,620,004,753.95 and 434,413,336,502.65

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Solution

The fourth proportional to 434,413,336,502.65, 651,620,004,753.95 and 434,413,336,502.65 is: 651,620,004,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,413,336,502.65 : 651,620,004,753.95 = 434,413,336,502.65 : x
  2. Step 2: Convert to fraction form
    434,413,336,502.65/651,620,004,753.95 = 434,413,336,502.65/x
  3. Step 3: Cross multiply
    434,413,336,502.65x = 651,620,004,753.95 × 434,413,336,502.65
  4. Step 4: Simplify right side
    434,413,336,502.65x = 283,072,420,397,036,060,278,784
  5. Step 5: Solve for x
    x = 283,072,420,397,036,060,278,784/434,413,336,502.65
  6. Step 6: Final answer
    x = 651,620,004,753.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.