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Finding the Fourth Proportional to 7,210,365,098.40, 10,815,547,647.60 and 7,210,365,098.40

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Solution

The fourth proportional to 7,210,365,098.40, 10,815,547,647.60 and 7,210,365,098.40 is: 10,815,547,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210,365,098.40 : 10,815,547,647.60 = 7,210,365,098.40 : x
  2. Step 2: Convert to fraction form
    7,210,365,098.40/10,815,547,647.60 = 7,210,365,098.40/x
  3. Step 3: Cross multiply
    7,210,365,098.40x = 10,815,547,647.60 × 7,210,365,098.40
  4. Step 4: Simplify right side
    7,210,365,098.40x = 77,984,047,278,337,261,568
  5. Step 5: Solve for x
    x = 77,984,047,278,337,261,568/7,210,365,098.40
  6. Step 6: Final answer
    x = 10,815,547,647.60

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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.