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Finding the Fourth Proportional to 971,835,345.70, 1,457,753,018.55 and 971,835,345.70

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Solution

The fourth proportional to 971,835,345.70, 1,457,753,018.55 and 971,835,345.70 is: 1,457,753,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,835,345.70 : 1,457,753,018.55 = 971,835,345.70 : x
  2. Step 2: Convert to fraction form
    971,835,345.70/1,457,753,018.55 = 971,835,345.70/x
  3. Step 3: Cross multiply
    971,835,345.70x = 1,457,753,018.55 × 971,835,345.70
  4. Step 4: Simplify right side
    971,835,345.70x = 1,416,695,908,727,757,824
  5. Step 5: Solve for x
    x = 1,416,695,908,727,757,824/971,835,345.70
  6. Step 6: Final answer
    x = 1,457,753,018.55

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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.