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Finding the Fourth Proportional to 160,160,467.60, 240,240,701.40 and 160,160,467.60

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Solution

The fourth proportional to 160,160,467.60, 240,240,701.40 and 160,160,467.60 is: 240,240,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,160,467.60 : 240,240,701.40 = 160,160,467.60 : x
  2. Step 2: Convert to fraction form
    160,160,467.60/240,240,701.40 = 160,160,467.60/x
  3. Step 3: Cross multiply
    160,160,467.60x = 240,240,701.40 × 160,160,467.60
  4. Step 4: Simplify right side
    160,160,467.60x = 38,477,063,072,775,976
  5. Step 5: Solve for x
    x = 38,477,063,072,775,976/160,160,467.60
  6. Step 6: Final answer
    x = 240,240,701.40

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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.