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Finding the Fourth Proportional to 176,023,036,007.30, 264,034,554,010.95 and 176,023,036,007.30

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Solution

The fourth proportional to 176,023,036,007.30, 264,034,554,010.95 and 176,023,036,007.30 is: 264,034,554,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,023,036,007.30 : 264,034,554,010.95 = 176,023,036,007.30 : x
  2. Step 2: Convert to fraction form
    176,023,036,007.30/264,034,554,010.95 = 176,023,036,007.30/x
  3. Step 3: Cross multiply
    176,023,036,007.30x = 264,034,554,010.95 × 176,023,036,007.30
  4. Step 4: Simplify right side
    176,023,036,007.30x = 46,476,163,807,840,850,411,520
  5. Step 5: Solve for x
    x = 46,476,163,807,840,850,411,520/176,023,036,007.30
  6. Step 6: Final answer
    x = 264,034,554,010.95

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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.