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Finding the Fourth Proportional to 46,377,031.80, 69,565,547.70 and 46,377,031.80

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Solution

The fourth proportional to 46,377,031.80, 69,565,547.70 and 46,377,031.80 is: 69,565,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377,031.80 : 69,565,547.70 = 46,377,031.80 : x
  2. Step 2: Convert to fraction form
    46,377,031.80/69,565,547.70 = 46,377,031.80/x
  3. Step 3: Cross multiply
    46,377,031.80x = 69,565,547.70 × 46,377,031.80
  4. Step 4: Simplify right side
    46,377,031.80x = 3,226,243,617,867,317
  5. Step 5: Solve for x
    x = 3,226,243,617,867,317/46,377,031.80
  6. Step 6: Final answer
    x = 69,565,547.70

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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.