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Finding the Fourth Proportional to 38,473,716,673.80, 57,618,742,005.90 and 38,473,716,673.80

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Solution

The fourth proportional to 38,473,716,673.80, 57,618,742,005.90 and 38,473,716,673.80 is: 57,618,742,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,473,716,673.80 : 57,618,742,005.90 = 38,473,716,673.80 : x
  2. Step 2: Convert to fraction form
    38,473,716,673.80/57,618,742,005.90 = 38,473,716,673.80/x
  3. Step 3: Cross multiply
    38,473,716,673.80x = 57,618,742,005.90 × 38,473,716,673.80
  4. Step 4: Simplify right side
    38,473,716,673.80x = 2,216,807,155,035,775,434,752
  5. Step 5: Solve for x
    x = 2,216,807,155,035,775,434,752/38,473,716,673.80
  6. Step 6: Final answer
    x = 57,618,742,005.90

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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.