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Finding the Fourth Proportional to 14,536,006,859.60, 21,804,010,289.40 and 14,536,006,859.60

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Solution

The fourth proportional to 14,536,006,859.60, 21,804,010,289.40 and 14,536,006,859.60 is: 21,804,010,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536,006,859.60 : 21,804,010,289.40 = 14,536,006,859.60 : x
  2. Step 2: Convert to fraction form
    14,536,006,859.60/21,804,010,289.40 = 14,536,006,859.60/x
  3. Step 3: Cross multiply
    14,536,006,859.60x = 21,804,010,289.40 × 14,536,006,859.60
  4. Step 4: Simplify right side
    14,536,006,859.60x = 316,943,243,133,507,403,776
  5. Step 5: Solve for x
    x = 316,943,243,133,507,403,776/14,536,006,859.60
  6. Step 6: Final answer
    x = 21,804,010,289.40

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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.