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Finding the Fourth Proportional to 559,191,999.60, 838,787,999.40 and 314,303,986.80

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Solution

The fourth proportional to 559,191,999.60, 838,787,999.40 and 314,303,986.80 is: 471,455,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,191,999.60 : 838,787,999.40 = 314,303,986.80 : x
  2. Step 2: Convert to fraction form
    559,191,999.60/838,787,999.40 = 314,303,986.80/x
  3. Step 3: Cross multiply
    559,191,999.60x = 838,787,999.40 × 314,303,986.80
  4. Step 4: Simplify right side
    559,191,999.60x = 263,634,412,291,416,000
  5. Step 5: Solve for x
    x = 263,634,412,291,416,000/559,191,999.60
  6. Step 6: Final answer
    x = 471,455,980.20

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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.