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Finding the Fourth Proportional to 1,102,758,429.15, 1,547,736,005.70 and 1,102,758,429.15

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Solution

The fourth proportional to 1,102,758,429.15, 1,547,736,005.70 and 1,102,758,429.15 is: 1,547,736,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,758,429.15 : 1,547,736,005.70 = 1,102,758,429.15 : x
  2. Step 2: Convert to fraction form
    1,102,758,429.15/1,547,736,005.70 = 1,102,758,429.15/x
  3. Step 3: Cross multiply
    1,102,758,429.15x = 1,547,736,005.70 × 1,102,758,429.15
  4. Step 4: Simplify right side
    1,102,758,429.15x = 1,706,778,926,384,627,712
  5. Step 5: Solve for x
    x = 1,706,778,926,384,627,712/1,102,758,429.15
  6. Step 6: Final answer
    x = 1,547,736,005.70

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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.