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Finding the Fourth Proportional to 264,435,643,148.40, 396,653,464,722.60 and 264,435,643,148.40

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Solution

The fourth proportional to 264,435,643,148.40, 396,653,464,722.60 and 264,435,643,148.40 is: 396,653,464,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,435,643,148.40 : 396,653,464,722.60 = 264,435,643,148.40 : x
  2. Step 2: Convert to fraction form
    264,435,643,148.40/396,653,464,722.60 = 264,435,643,148.40/x
  3. Step 3: Cross multiply
    264,435,643,148.40x = 396,653,464,722.60 × 264,435,643,148.40
  4. Step 4: Simplify right side
    264,435,643,148.40x = 104,889,314,050,961,905,287,168
  5. Step 5: Solve for x
    x = 104,889,314,050,961,905,287,168/264,435,643,148.40
  6. Step 6: Final answer
    x = 396,653,464,722.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.