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Finding the Fourth Proportional to 4,648,157,030.30, 6,972,235,545.45 and 4,648,157,030.30

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Solution

The fourth proportional to 4,648,157,030.30, 6,972,235,545.45 and 4,648,157,030.30 is: 6,972,235,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,157,030.30 : 6,972,235,545.45 = 4,648,157,030.30 : x
  2. Step 2: Convert to fraction form
    4,648,157,030.30/6,972,235,545.45 = 4,648,157,030.30/x
  3. Step 3: Cross multiply
    4,648,157,030.30x = 6,972,235,545.45 × 4,648,157,030.30
  4. Step 4: Simplify right side
    4,648,157,030.30x = 32,408,045,667,490,971,648
  5. Step 5: Solve for x
    x = 32,408,045,667,490,971,648/4,648,157,030.30
  6. Step 6: Final answer
    x = 6,972,235,545.45

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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.