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Finding the Fourth Proportional to 713,232,005.10, 996,484,073.70 and 713,232,005.10

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Solution

The fourth proportional to 713,232,005.10, 996,484,073.70 and 713,232,005.10 is: 996,484,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,232,005.10 : 996,484,073.70 = 713,232,005.10 : x
  2. Step 2: Convert to fraction form
    713,232,005.10/996,484,073.70 = 713,232,005.10/x
  3. Step 3: Cross multiply
    713,232,005.10x = 996,484,073.70 × 713,232,005.10
  4. Step 4: Simplify right side
    713,232,005.10x = 710,724,333,935,267,200
  5. Step 5: Solve for x
    x = 710,724,333,935,267,200/713,232,005.10
  6. Step 6: Final answer
    x = 996,484,073.70

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1.5x scale

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.