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Finding the Fourth Proportional to 651,620,004,751.73, 977,430,007,127.59 and 651,620,004,751.73

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Solution

The fourth proportional to 651,620,004,751.73, 977,430,007,127.59 and 651,620,004,751.73 is: 977,430,007,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,620,004,751.73 : 977,430,007,127.59 = 651,620,004,751.73 : x
  2. Step 2: Convert to fraction form
    651,620,004,751.73/977,430,007,127.59 = 651,620,004,751.73/x
  3. Step 3: Cross multiply
    651,620,004,751.73x = 977,430,007,127.59 × 651,620,004,751.73
  4. Step 4: Simplify right side
    651,620,004,751.73x = 636,912,945,888,963,699,146,752
  5. Step 5: Solve for x
    x = 636,912,945,888,963,699,146,752/651,620,004,751.73
  6. Step 6: Final answer
    x = 977,430,007,127.59

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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.