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Finding the Fourth Proportional to 302,054,547.60, 424,024,279.20 and 302,054,547.60

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Solution

The fourth proportional to 302,054,547.60, 424,024,279.20 and 302,054,547.60 is: 424,024,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,054,547.60 : 424,024,279.20 = 302,054,547.60 : x
  2. Step 2: Convert to fraction form
    302,054,547.60/424,024,279.20 = 302,054,547.60/x
  3. Step 3: Cross multiply
    302,054,547.60x = 424,024,279.20 × 302,054,547.60
  4. Step 4: Simplify right side
    302,054,547.60x = 128,078,461,825,172,096
  5. Step 5: Solve for x
    x = 128,078,461,825,172,096/302,054,547.60
  6. Step 6: Final answer
    x = 424,024,279.20

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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.