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Finding the Fourth Proportional to 725,493,009, 1,001,130,307.32 and 408,000,704.52

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Solution

The fourth proportional to 725,493,009, 1,001,130,307.32 and 408,000,704.52 is: 563,012,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,493,009 : 1,001,130,307.32 = 408,000,704.52 : x
  2. Step 2: Convert to fraction form
    725,493,009/1,001,130,307.32 = 408,000,704.52/x
  3. Step 3: Cross multiply
    725,493,009x = 1,001,130,307.32 × 408,000,704.52
  4. Step 4: Simplify right side
    725,493,009x = 408,461,870,702,884,096
  5. Step 5: Solve for x
    x = 408,461,870,702,884,096/725,493,009
  6. Step 6: Final answer
    x = 563,012,828.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.