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Finding the Fourth Proportional to 31,038,003,485.90, 46,557,005,228.85 and 31,038,003,485.90

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Solution

The fourth proportional to 31,038,003,485.90, 46,557,005,228.85 and 31,038,003,485.90 is: 46,557,005,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038,003,485.90 : 46,557,005,228.85 = 31,038,003,485.90 : x
  2. Step 2: Convert to fraction form
    31,038,003,485.90/46,557,005,228.85 = 31,038,003,485.90/x
  3. Step 3: Cross multiply
    31,038,003,485.90x = 46,557,005,228.85 × 31,038,003,485.90
  4. Step 4: Simplify right side
    31,038,003,485.90x = 1,445,036,490,586,110,820,352
  5. Step 5: Solve for x
    x = 1,445,036,490,586,110,820,352/31,038,003,485.90
  6. Step 6: Final answer
    x = 46,557,005,228.85

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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.