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Finding the Fourth Proportional to 309,050,615,999.80, 463,575,923,999.70 and 309,050,615,999.80

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Solution

The fourth proportional to 309,050,615,999.80, 463,575,923,999.70 and 309,050,615,999.80 is: 463,575,923,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,050,615,999.80 : 463,575,923,999.70 = 309,050,615,999.80 : x
  2. Step 2: Convert to fraction form
    309,050,615,999.80/463,575,923,999.70 = 309,050,615,999.80/x
  3. Step 3: Cross multiply
    309,050,615,999.80x = 463,575,923,999.70 × 309,050,615,999.80
  4. Step 4: Simplify right side
    309,050,615,999.80x = 143,268,424,874,783,758,352,384
  5. Step 5: Solve for x
    x = 143,268,424,874,783,758,352,384/309,050,615,999.80
  6. Step 6: Final answer
    x = 463,575,923,999.70

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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.