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Finding the Fourth Proportional to 32,457,985,441.60, 48,686,978,162.40 and 32,457,985,441.60

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Solution

The fourth proportional to 32,457,985,441.60, 48,686,978,162.40 and 32,457,985,441.60 is: 48,686,978,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457,985,441.60 : 48,686,978,162.40 = 32,457,985,441.60 : x
  2. Step 2: Convert to fraction form
    32,457,985,441.60/48,686,978,162.40 = 32,457,985,441.60/x
  3. Step 3: Cross multiply
    32,457,985,441.60x = 48,686,978,162.40 × 32,457,985,441.60
  4. Step 4: Simplify right side
    32,457,985,441.60x = 1,580,281,228,390,676,299,776
  5. Step 5: Solve for x
    x = 1,580,281,228,390,676,299,776/32,457,985,441.60
  6. Step 6: Final answer
    x = 48,686,978,162.40

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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.