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Finding the Fourth Proportional to 2,005,012,324,710.80, 3,007,518,487,066 and 2,005,012,324,710.80

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Solution

The fourth proportional to 2,005,012,324,710.80, 3,007,518,487,066 and 2,005,012,324,710.80 is: 3,007,518,487,066

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,012,324,710.80 : 3,007,518,487,066 = 2,005,012,324,710.80 : x
  2. Step 2: Convert to fraction form
    2,005,012,324,710.80/3,007,518,487,066 = 2,005,012,324,710.80/x
  3. Step 3: Cross multiply
    2,005,012,324,710.80x = 3,007,518,487,066 × 2,005,012,324,710.80
  4. Step 4: Simplify right side
    2,005,012,324,710.80x = 6,030,111,633,362,909,168,402,432
  5. Step 5: Solve for x
    x = 6,030,111,633,362,909,168,402,432/2,005,012,324,710.80
  6. Step 6: Final answer
    x = 3,007,518,487,066

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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.