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Finding the Fourth Proportional to 30,243,051,200.40, 45,277,407,190.58 and 30,243,051,200.40

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Solution

The fourth proportional to 30,243,051,200.40, 45,277,407,190.58 and 30,243,051,200.40 is: 45,277,407,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243,051,200.40 : 45,277,407,190.58 = 30,243,051,200.40 : x
  2. Step 2: Convert to fraction form
    30,243,051,200.40/45,277,407,190.58 = 30,243,051,200.40/x
  3. Step 3: Cross multiply
    30,243,051,200.40x = 45,277,407,190.58 × 30,243,051,200.40
  4. Step 4: Simplify right side
    30,243,051,200.40x = 1,369,326,943,885,918,732,288
  5. Step 5: Solve for x
    x = 1,369,326,943,885,918,732,288/30,243,051,200.40
  6. Step 6: Final answer
    x = 45,277,407,190.58

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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.