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Finding the Fourth Proportional to 3,024,352,465.95, 4,536,528,698.93 and 3,024,352,465.95

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Solution

The fourth proportional to 3,024,352,465.95, 4,536,528,698.93 and 3,024,352,465.95 is: 4,536,528,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024,352,465.95 : 4,536,528,698.93 = 3,024,352,465.95 : x
  2. Step 2: Convert to fraction form
    3,024,352,465.95/4,536,528,698.93 = 3,024,352,465.95/x
  3. Step 3: Cross multiply
    3,024,352,465.95x = 4,536,528,698.93 × 3,024,352,465.95
  4. Step 4: Simplify right side
    3,024,352,465.95x = 13,720,061,757,446,768,640
  5. Step 5: Solve for x
    x = 13,720,061,757,446,768,640/3,024,352,465.95
  6. Step 6: Final answer
    x = 4,536,528,698.93

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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.