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Finding the Fourth Proportional to 213,133,031.60, 319,699,547.40 and 213,133,031.60

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Solution

The fourth proportional to 213,133,031.60, 319,699,547.40 and 213,133,031.60 is: 319,699,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,133,031.60 : 319,699,547.40 = 213,133,031.60 : x
  2. Step 2: Convert to fraction form
    213,133,031.60/319,699,547.40 = 213,133,031.60/x
  3. Step 3: Cross multiply
    213,133,031.60x = 319,699,547.40 × 213,133,031.60
  4. Step 4: Simplify right side
    213,133,031.60x = 68,138,533,738,509,888
  5. Step 5: Solve for x
    x = 68,138,533,738,509,888/213,133,031.60
  6. Step 6: Final answer
    x = 319,699,547.40

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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.