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Finding the Fourth Proportional to 195,570,345,645.70, 293,355,518,468.55 and 195,570,345,645.70

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Solution

The fourth proportional to 195,570,345,645.70, 293,355,518,468.55 and 195,570,345,645.70 is: 293,355,518,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,570,345,645.70 : 293,355,518,468.55 = 195,570,345,645.70 : x
  2. Step 2: Convert to fraction form
    195,570,345,645.70/293,355,518,468.55 = 195,570,345,645.70/x
  3. Step 3: Cross multiply
    195,570,345,645.70x = 293,355,518,468.55 × 195,570,345,645.70
  4. Step 4: Simplify right side
    195,570,345,645.70x = 57,371,640,143,967,852,429,312
  5. Step 5: Solve for x
    x = 57,371,640,143,967,852,429,312/195,570,345,645.70
  6. Step 6: Final answer
    x = 293,355,518,468.55

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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.