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Finding the Fourth Proportional to 274,710,528,095.10, 412,065,792,142.65 and 274,710,528,095.10

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Solution

The fourth proportional to 274,710,528,095.10, 412,065,792,142.65 and 274,710,528,095.10 is: 412,065,792,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,710,528,095.10 : 412,065,792,142.65 = 274,710,528,095.10 : x
  2. Step 2: Convert to fraction form
    274,710,528,095.10/412,065,792,142.65 = 274,710,528,095.10/x
  3. Step 3: Cross multiply
    274,710,528,095.10x = 412,065,792,142.65 × 274,710,528,095.10
  4. Step 4: Simplify right side
    274,710,528,095.10x = 113,198,811,369,433,091,538,944
  5. Step 5: Solve for x
    x = 113,198,811,369,433,091,538,944/274,710,528,095.10
  6. Step 6: Final answer
    x = 412,065,792,142.65

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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.