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Finding the Fourth Proportional to 4,620,700,823.90, 6,931,051,235.85 and 4,620,700,823.90

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Solution

The fourth proportional to 4,620,700,823.90, 6,931,051,235.85 and 4,620,700,823.90 is: 6,931,051,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620,700,823.90 : 6,931,051,235.85 = 4,620,700,823.90 : x
  2. Step 2: Convert to fraction form
    4,620,700,823.90/6,931,051,235.85 = 4,620,700,823.90/x
  3. Step 3: Cross multiply
    4,620,700,823.90x = 6,931,051,235.85 × 4,620,700,823.90
  4. Step 4: Simplify right side
    4,620,700,823.90x = 32,026,314,155,985,207,296
  5. Step 5: Solve for x
    x = 32,026,314,155,985,207,296/4,620,700,823.90
  6. Step 6: Final answer
    x = 6,931,051,235.85

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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.