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Finding the Fourth Proportional to 758,258,840.70, 1,137,388,261.05 and 758,258,840.70

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Solution

The fourth proportional to 758,258,840.70, 1,137,388,261.05 and 758,258,840.70 is: 1,137,388,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,258,840.70 : 1,137,388,261.05 = 758,258,840.70 : x
  2. Step 2: Convert to fraction form
    758,258,840.70/1,137,388,261.05 = 758,258,840.70/x
  3. Step 3: Cross multiply
    758,258,840.70x = 1,137,388,261.05 × 758,258,840.70
  4. Step 4: Simplify right side
    758,258,840.70x = 862,434,704,249,561,984
  5. Step 5: Solve for x
    x = 862,434,704,249,561,984/758,258,840.70
  6. Step 6: Final answer
    x = 1,137,388,261.05

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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.