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Finding the Fourth Proportional to 114,920,434,543.60, 172,380,651,815.40 and 114,920,434,543.60

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Solution

The fourth proportional to 114,920,434,543.60, 172,380,651,815.40 and 114,920,434,543.60 is: 172,380,651,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,920,434,543.60 : 172,380,651,815.40 = 114,920,434,543.60 : x
  2. Step 2: Convert to fraction form
    114,920,434,543.60/172,380,651,815.40 = 114,920,434,543.60/x
  3. Step 3: Cross multiply
    114,920,434,543.60x = 172,380,651,815.40 × 114,920,434,543.60
  4. Step 4: Simplify right side
    114,920,434,543.60x = 19,810,059,413,534,776,754,176
  5. Step 5: Solve for x
    x = 19,810,059,413,534,776,754,176/114,920,434,543.60
  6. Step 6: Final answer
    x = 172,380,651,815.40

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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.