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Finding the Fourth Proportional to 292,159,771,838.10, 438,239,657,757.15 and 292,159,771,838.10

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Solution

The fourth proportional to 292,159,771,838.10, 438,239,657,757.15 and 292,159,771,838.10 is: 438,239,657,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159,771,838.10 : 438,239,657,757.15 = 292,159,771,838.10 : x
  2. Step 2: Convert to fraction form
    292,159,771,838.10/438,239,657,757.15 = 292,159,771,838.10/x
  3. Step 3: Cross multiply
    292,159,771,838.10x = 438,239,657,757.15 × 292,159,771,838.10
  4. Step 4: Simplify right side
    292,159,771,838.10x = 128,035,998,420,735,977,586,688
  5. Step 5: Solve for x
    x = 128,035,998,420,735,977,586,688/292,159,771,838.10
  6. Step 6: Final answer
    x = 438,239,657,757.15

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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.