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Finding the Fourth Proportional to 97,056,157,098.10, 145,584,235,647.16 and 97,056,157,098.10

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Solution

The fourth proportional to 97,056,157,098.10, 145,584,235,647.16 and 97,056,157,098.10 is: 145,584,235,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,056,157,098.10 : 145,584,235,647.16 = 97,056,157,098.10 : x
  2. Step 2: Convert to fraction form
    97,056,157,098.10/145,584,235,647.16 = 97,056,157,098.10/x
  3. Step 3: Cross multiply
    97,056,157,098.10x = 145,584,235,647.16 × 97,056,157,098.10
  4. Step 4: Simplify right side
    97,056,157,098.10x = 14,129,846,445,977,571,950,592
  5. Step 5: Solve for x
    x = 14,129,846,445,977,571,950,592/97,056,157,098.10
  6. Step 6: Final answer
    x = 145,584,235,647.16

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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.