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Finding the Fourth Proportional to 30,523,417,357.55, 45,785,126,036.33 and 30,523,417,357.55

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Solution

The fourth proportional to 30,523,417,357.55, 45,785,126,036.33 and 30,523,417,357.55 is: 45,785,126,036.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523,417,357.55 : 45,785,126,036.33 = 30,523,417,357.55 : x
  2. Step 2: Convert to fraction form
    30,523,417,357.55/45,785,126,036.33 = 30,523,417,357.55/x
  3. Step 3: Cross multiply
    30,523,417,357.55x = 45,785,126,036.33 × 30,523,417,357.55
  4. Step 4: Simplify right side
    30,523,417,357.55x = 1,397,518,510,774,776,758,272
  5. Step 5: Solve for x
    x = 1,397,518,510,774,776,758,272/30,523,417,357.55
  6. Step 6: Final answer
    x = 45,785,126,036.33

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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.