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Finding the Fourth Proportional to 98,537,472,005.60, 147,806,208,008.40 and 98,537,472,005.60

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Solution

The fourth proportional to 98,537,472,005.60, 147,806,208,008.40 and 98,537,472,005.60 is: 147,806,208,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,537,472,005.60 : 147,806,208,008.40 = 98,537,472,005.60 : x
  2. Step 2: Convert to fraction form
    98,537,472,005.60/147,806,208,008.40 = 98,537,472,005.60/x
  3. Step 3: Cross multiply
    98,537,472,005.60x = 147,806,208,008.40 × 98,537,472,005.60
  4. Step 4: Simplify right side
    98,537,472,005.60x = 14,564,450,083,881,604,874,240
  5. Step 5: Solve for x
    x = 14,564,450,083,881,604,874,240/98,537,472,005.60
  6. Step 6: Final answer
    x = 147,806,208,008.40

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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.