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Finding the Fourth Proportional to 105,644,208,200.40, 158,466,312,300.60 and 105,644,208,200.40

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Solution

The fourth proportional to 105,644,208,200.40, 158,466,312,300.60 and 105,644,208,200.40 is: 158,466,312,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,644,208,200.40 : 158,466,312,300.60 = 105,644,208,200.40 : x
  2. Step 2: Convert to fraction form
    105,644,208,200.40/158,466,312,300.60 = 105,644,208,200.40/x
  3. Step 3: Cross multiply
    105,644,208,200.40x = 158,466,312,300.60 × 105,644,208,200.40
  4. Step 4: Simplify right side
    105,644,208,200.40x = 16,741,048,089,434,193,395,712
  5. Step 5: Solve for x
    x = 16,741,048,089,434,193,395,712/105,644,208,200.40
  6. Step 6: Final answer
    x = 158,466,312,300.60

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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.