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Finding the Fourth Proportional to 660,051,909,000.30, 990,077,863,500.45 and 660,051,909,000.30

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Solution

The fourth proportional to 660,051,909,000.30, 990,077,863,500.45 and 660,051,909,000.30 is: 990,077,863,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,051,909,000.30 : 990,077,863,500.45 = 660,051,909,000.30 : x
  2. Step 2: Convert to fraction form
    660,051,909,000.30/990,077,863,500.45 = 660,051,909,000.30/x
  3. Step 3: Cross multiply
    660,051,909,000.30x = 990,077,863,500.45 × 660,051,909,000.30
  4. Step 4: Simplify right side
    660,051,909,000.30x = 653,502,783,862,410,519,248,896
  5. Step 5: Solve for x
    x = 653,502,783,862,410,519,248,896/660,051,909,000.30
  6. Step 6: Final answer
    x = 990,077,863,500.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.