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Finding the Fourth Proportional to 5,735,290,435.40, 8,602,935,653.10 and 5,735,290,435.40

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Solution

The fourth proportional to 5,735,290,435.40, 8,602,935,653.10 and 5,735,290,435.40 is: 8,602,935,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735,290,435.40 : 8,602,935,653.10 = 5,735,290,435.40 : x
  2. Step 2: Convert to fraction form
    5,735,290,435.40/8,602,935,653.10 = 5,735,290,435.40/x
  3. Step 3: Cross multiply
    5,735,290,435.40x = 8,602,935,653.10 × 5,735,290,435.40
  4. Step 4: Simplify right side
    5,735,290,435.40x = 49,340,334,567,586,078,720
  5. Step 5: Solve for x
    x = 49,340,334,567,586,078,720/5,735,290,435.40
  6. Step 6: Final answer
    x = 8,602,935,653.10

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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.