Finding the Fourth Proportional to 626,685,817,125.52, 940,213,156,907.40 and 202,206,119,038.54
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Solution
The fourth proportional to 626,685,817,125.52, 940,213,156,907.40 and 202,206,119,038.54 is: 303,368,687,038.82
Step by Step Solution
- Step 1: Write the proportion equation
626,685,817,125.52 : 940,213,156,907.40 = 202,206,119,038.54 : x - Step 2: Convert to fraction form
626,685,817,125.52/940,213,156,907.40 = 202,206,119,038.54/x - Step 3: Cross multiply
626,685,817,125.52x = 940,213,156,907.40 × 202,206,119,038.54 - Step 4: Simplify right side
626,685,817,125.52x = 190,116,853,527,219,223,396,352 - Step 5: Solve for x
x = 190,116,853,527,219,223,396,352/626,685,817,125.52 - Step 6: Final answer
x = 303,368,687,038.82
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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.