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Finding the Fourth Proportional to 6,089,093,750.40, 8,506,364,649.60 and 6,089,093,750.40

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Solution

The fourth proportional to 6,089,093,750.40, 8,506,364,649.60 and 6,089,093,750.40 is: 8,506,364,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089,093,750.40 : 8,506,364,649.60 = 6,089,093,750.40 : x
  2. Step 2: Convert to fraction form
    6,089,093,750.40/8,506,364,649.60 = 6,089,093,750.40/x
  3. Step 3: Cross multiply
    6,089,093,750.40x = 8,506,364,649.60 × 6,089,093,750.40
  4. Step 4: Simplify right side
    6,089,093,750.40x = 51,796,051,826,502,844,416
  5. Step 5: Solve for x
    x = 51,796,051,826,502,844,416/6,089,093,750.40
  6. Step 6: Final answer
    x = 8,506,364,649.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.