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Finding the Fourth Proportional to 9,832,079,281.60, 14,748,118,922.40 and 9,832,079,281.60

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Solution

The fourth proportional to 9,832,079,281.60, 14,748,118,922.40 and 9,832,079,281.60 is: 14,748,118,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832,079,281.60 : 14,748,118,922.40 = 9,832,079,281.60 : x
  2. Step 2: Convert to fraction form
    9,832,079,281.60/14,748,118,922.40 = 9,832,079,281.60/x
  3. Step 3: Cross multiply
    9,832,079,281.60x = 14,748,118,922.40 × 9,832,079,281.60
  4. Step 4: Simplify right side
    9,832,079,281.60x = 145,004,674,499,501,965,312
  5. Step 5: Solve for x
    x = 145,004,674,499,501,965,312/9,832,079,281.60
  6. Step 6: Final answer
    x = 14,748,118,922.40

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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.