Finding the Fourth Proportional to 106,484,347,166.84, 159,736,339,858.30 and 34,774,237,120.29
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Solution
The fourth proportional to 106,484,347,166.84, 159,736,339,858.30 and 34,774,237,120.29 is: 52,164,562,273.70
Step by Step Solution
- Step 1: Write the proportion equation
106,484,347,166.84 : 159,736,339,858.30 = 34,774,237,120.29 : x - Step 2: Convert to fraction form
106,484,347,166.84/159,736,339,858.30 = 34,774,237,120.29/x - Step 3: Cross multiply
106,484,347,166.84x = 159,736,339,858.30 × 34,774,237,120.29 - Step 4: Simplify right side
106,484,347,166.84x = 5,554,709,358,959,115,894,784 - Step 5: Solve for x
x = 5,554,709,358,959,115,894,784/106,484,347,166.84 - Step 6: Final answer
x = 52,164,562,273.70
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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.