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Finding the Fourth Proportional to 9,710,288,547.80, 14,565,432,821.70 and 9,710,288,547.80

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Solution

The fourth proportional to 9,710,288,547.80, 14,565,432,821.70 and 9,710,288,547.80 is: 14,565,432,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710,288,547.80 : 14,565,432,821.70 = 9,710,288,547.80 : x
  2. Step 2: Convert to fraction form
    9,710,288,547.80/14,565,432,821.70 = 9,710,288,547.80/x
  3. Step 3: Cross multiply
    9,710,288,547.80x = 14,565,432,821.70 × 9,710,288,547.80
  4. Step 4: Simplify right side
    9,710,288,547.80x = 141,434,555,522,303,737,856
  5. Step 5: Solve for x
    x = 141,434,555,522,303,737,856/9,710,288,547.80
  6. Step 6: Final answer
    x = 14,565,432,821.70

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Double scale
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1.5x scale

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.