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Finding the Fourth Proportional to 713,206,807.10, 996,448,796.50 and 713,206,807.10

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Solution

The fourth proportional to 713,206,807.10, 996,448,796.50 and 713,206,807.10 is: 996,448,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,206,807.10 : 996,448,796.50 = 713,206,807.10 : x
  2. Step 2: Convert to fraction form
    713,206,807.10/996,448,796.50 = 713,206,807.10/x
  3. Step 3: Cross multiply
    713,206,807.10x = 996,448,796.50 × 713,206,807.10
  4. Step 4: Simplify right side
    713,206,807.10x = 710,674,064,590,402,688
  5. Step 5: Solve for x
    x = 710,674,064,590,402,688/713,206,807.10
  6. Step 6: Final answer
    x = 996,448,796.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.