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Finding the Fourth Proportional to 7,648,506,072.80, 11,454,619,256.40 and 7,648,506,072.80

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Solution

The fourth proportional to 7,648,506,072.80, 11,454,619,256.40 and 7,648,506,072.80 is: 11,454,619,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648,506,072.80 : 11,454,619,256.40 = 7,648,506,072.80 : x
  2. Step 2: Convert to fraction form
    7,648,506,072.80/11,454,619,256.40 = 7,648,506,072.80/x
  3. Step 3: Cross multiply
    7,648,506,072.80x = 11,454,619,256.40 × 7,648,506,072.80
  4. Step 4: Simplify right side
    7,648,506,072.80x = 87,610,724,944,187,211,776
  5. Step 5: Solve for x
    x = 87,610,724,944,187,211,776/7,648,506,072.80
  6. Step 6: Final answer
    x = 11,454,619,256.40

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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.