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Finding the Fourth Proportional to 20,698,024,065.60, 31,047,036,098.40 and 20,698,024,065.60

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Solution

The fourth proportional to 20,698,024,065.60, 31,047,036,098.40 and 20,698,024,065.60 is: 31,047,036,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698,024,065.60 : 31,047,036,098.40 = 20,698,024,065.60 : x
  2. Step 2: Convert to fraction form
    20,698,024,065.60/31,047,036,098.40 = 20,698,024,065.60/x
  3. Step 3: Cross multiply
    20,698,024,065.60x = 31,047,036,098.40 × 20,698,024,065.60
  4. Step 4: Simplify right side
    20,698,024,065.60x = 642,612,300,330,235,068,416
  5. Step 5: Solve for x
    x = 642,612,300,330,235,068,416/20,698,024,065.60
  6. Step 6: Final answer
    x = 31,047,036,098.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.