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Finding the Fourth Proportional to 43,277,688,679.80, 64,916,533,019.70 and 43,277,688,679.80

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Solution

The fourth proportional to 43,277,688,679.80, 64,916,533,019.70 and 43,277,688,679.80 is: 64,916,533,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,277,688,679.80 : 64,916,533,019.70 = 43,277,688,679.80 : x
  2. Step 2: Convert to fraction form
    43,277,688,679.80/64,916,533,019.70 = 43,277,688,679.80/x
  3. Step 3: Cross multiply
    43,277,688,679.80x = 64,916,533,019.70 × 43,277,688,679.80
  4. Step 4: Simplify right side
    43,277,688,679.80x = 2,809,437,506,198,533,832,704
  5. Step 5: Solve for x
    x = 2,809,437,506,198,533,832,704/43,277,688,679.80
  6. Step 6: Final answer
    x = 64,916,533,019.70

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Why These Related Problems?

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