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Finding the Fourth Proportional to 9,657,816,010.30, 14,486,724,015.45 and 9,657,816,010.30

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Solution

The fourth proportional to 9,657,816,010.30, 14,486,724,015.45 and 9,657,816,010.30 is: 14,486,724,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,816,010.30 : 14,486,724,015.45 = 9,657,816,010.30 : x
  2. Step 2: Convert to fraction form
    9,657,816,010.30/14,486,724,015.45 = 9,657,816,010.30/x
  3. Step 3: Cross multiply
    9,657,816,010.30x = 14,486,724,015.45 × 9,657,816,010.30
  4. Step 4: Simplify right side
    9,657,816,010.30x = 139,910,115,133,210,509,312
  5. Step 5: Solve for x
    x = 139,910,115,133,210,509,312/9,657,816,010.30
  6. Step 6: Final answer
    x = 14,486,724,015.45

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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.