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Finding the Fourth Proportional to 6,698,975,793.30, 10,048,463,689.95 and 6,698,975,793.30

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Solution

The fourth proportional to 6,698,975,793.30, 10,048,463,689.95 and 6,698,975,793.30 is: 10,048,463,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698,975,793.30 : 10,048,463,689.95 = 6,698,975,793.30 : x
  2. Step 2: Convert to fraction form
    6,698,975,793.30/10,048,463,689.95 = 6,698,975,793.30/x
  3. Step 3: Cross multiply
    6,698,975,793.30x = 10,048,463,689.95 × 6,698,975,793.30
  4. Step 4: Simplify right side
    6,698,975,793.30x = 67,314,415,018,829,053,952
  5. Step 5: Solve for x
    x = 67,314,415,018,829,053,952/6,698,975,793.30
  6. Step 6: Final answer
    x = 10,048,463,689.95

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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.