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Finding the Fourth Proportional to 73,535,709,983.40, 110,303,564,975.10 and 73,535,709,983.40

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Solution

The fourth proportional to 73,535,709,983.40, 110,303,564,975.10 and 73,535,709,983.40 is: 110,303,564,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,535,709,983.40 : 110,303,564,975.10 = 73,535,709,983.40 : x
  2. Step 2: Convert to fraction form
    73,535,709,983.40/110,303,564,975.10 = 73,535,709,983.40/x
  3. Step 3: Cross multiply
    73,535,709,983.40x = 110,303,564,975.10 × 73,535,709,983.40
  4. Step 4: Simplify right side
    73,535,709,983.40x = 8,111,250,964,144,071,901,184
  5. Step 5: Solve for x
    x = 8,111,250,964,144,071,901,184/73,535,709,983.40
  6. Step 6: Final answer
    x = 110,303,564,975.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.