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Finding the Fourth Proportional to 2,378,021,919,903.20, 3,567,032,879,854.90 and 2,378,021,919,903.20

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Solution

The fourth proportional to 2,378,021,919,903.20, 3,567,032,879,854.90 and 2,378,021,919,903.20 is: 3,567,032,879,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,021,919,903.20 : 3,567,032,879,854.90 = 2,378,021,919,903.20 : x
  2. Step 2: Convert to fraction form
    2,378,021,919,903.20/3,567,032,879,854.90 = 2,378,021,919,903.20/x
  3. Step 3: Cross multiply
    2,378,021,919,903.20x = 3,567,032,879,854.90 × 2,378,021,919,903.20
  4. Step 4: Simplify right side
    2,378,021,919,903.20x = 8,482,482,377,310,390,779,379,712
  5. Step 5: Solve for x
    x = 8,482,482,377,310,390,779,379,712/2,378,021,919,903.20
  6. Step 6: Final answer
    x = 3,567,032,879,854.90

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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.