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Finding the Fourth Proportional to 162,920,851,221.10, 244,381,276,831.65 and 162,920,851,221.10

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Solution

The fourth proportional to 162,920,851,221.10, 244,381,276,831.65 and 162,920,851,221.10 is: 244,381,276,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,920,851,221.10 : 244,381,276,831.65 = 162,920,851,221.10 : x
  2. Step 2: Convert to fraction form
    162,920,851,221.10/244,381,276,831.65 = 162,920,851,221.10/x
  3. Step 3: Cross multiply
    162,920,851,221.10x = 244,381,276,831.65 × 162,920,851,221.10
  4. Step 4: Simplify right side
    162,920,851,221.10x = 39,814,805,643,911,705,395,200
  5. Step 5: Solve for x
    x = 39,814,805,643,911,705,395,200/162,920,851,221.10
  6. Step 6: Final answer
    x = 244,381,276,831.65

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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.