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Finding the Fourth Proportional to 71,287,671,653.55, 106,931,507,480.33 and 71,287,671,653.55

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Solution

The fourth proportional to 71,287,671,653.55, 106,931,507,480.33 and 71,287,671,653.55 is: 106,931,507,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,287,671,653.55 : 106,931,507,480.33 = 71,287,671,653.55 : x
  2. Step 2: Convert to fraction form
    71,287,671,653.55/106,931,507,480.33 = 71,287,671,653.55/x
  3. Step 3: Cross multiply
    71,287,671,653.55x = 106,931,507,480.33 × 71,287,671,653.55
  4. Step 4: Simplify right side
    71,287,671,653.55x = 7,622,898,194,676,890,730,496
  5. Step 5: Solve for x
    x = 7,622,898,194,676,890,730,496/71,287,671,653.55
  6. Step 6: Final answer
    x = 106,931,507,480.33

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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.