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Finding the Fourth Proportional to 1,010,969,730.40, 1,516,454,595.60 and 1,010,969,730.40

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Solution

The fourth proportional to 1,010,969,730.40, 1,516,454,595.60 and 1,010,969,730.40 is: 1,516,454,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,969,730.40 : 1,516,454,595.60 = 1,010,969,730.40 : x
  2. Step 2: Convert to fraction form
    1,010,969,730.40/1,516,454,595.60 = 1,010,969,730.40/x
  3. Step 3: Cross multiply
    1,010,969,730.40x = 1,516,454,595.60 × 1,010,969,730.40
  4. Step 4: Simplify right side
    1,010,969,730.40x = 1,533,089,693,677,572,864
  5. Step 5: Solve for x
    x = 1,533,089,693,677,572,864/1,010,969,730.40
  6. Step 6: Final answer
    x = 1,516,454,595.60

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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.