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Finding the Fourth Proportional to 240,594,446,823.64, 360,891,670,235.45 and 240,594,446,823.64

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Solution

The fourth proportional to 240,594,446,823.64, 360,891,670,235.45 and 240,594,446,823.64 is: 360,891,670,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,594,446,823.64 : 360,891,670,235.45 = 240,594,446,823.64 : x
  2. Step 2: Convert to fraction form
    240,594,446,823.64/360,891,670,235.45 = 240,594,446,823.64/x
  3. Step 3: Cross multiply
    240,594,446,823.64x = 360,891,670,235.45 × 240,594,446,823.64
  4. Step 4: Simplify right side
    240,594,446,823.64x = 86,828,531,763,557,609,504,768
  5. Step 5: Solve for x
    x = 86,828,531,763,557,609,504,768/240,594,446,823.64
  6. Step 6: Final answer
    x = 360,891,670,235.45

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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.