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Finding the Fourth Proportional to 1,187,185,518,004.70, 1,780,778,277,007 and 1,187,185,518,004.70

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Solution

The fourth proportional to 1,187,185,518,004.70, 1,780,778,277,007 and 1,187,185,518,004.70 is: 1,780,778,277,007

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,185,518,004.70 : 1,780,778,277,007 = 1,187,185,518,004.70 : x
  2. Step 2: Convert to fraction form
    1,187,185,518,004.70/1,780,778,277,007 = 1,187,185,518,004.70/x
  3. Step 3: Cross multiply
    1,187,185,518,004.70x = 1,780,778,277,007 × 1,187,185,518,004.70
  4. Step 4: Simplify right side
    1,187,185,518,004.70x = 2,114,114,181,240,072,295,153,664
  5. Step 5: Solve for x
    x = 2,114,114,181,240,072,295,153,664/1,187,185,518,004.70
  6. Step 6: Final answer
    x = 1,780,778,277,007

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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.