Finding the Fourth Proportional to 1,292,420,303,894.20, 1,938,630,455,974.80 and 431,894,473,370.08
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Solution
The fourth proportional to 1,292,420,303,894.20, 1,938,630,455,974.80 and 431,894,473,370.08 is: 647,841,710,099.73
Step by Step Solution
- Step 1: Write the proportion equation
1,292,420,303,894.20 : 1,938,630,455,974.80 = 431,894,473,370.08 : x - Step 2: Convert to fraction form
1,292,420,303,894.20/1,938,630,455,974.80 = 431,894,473,370.08/x - Step 3: Cross multiply
1,292,420,303,894.20x = 1,938,630,455,974.80 × 431,894,473,370.08 - Step 4: Simplify right side
1,292,420,303,894.20x = 837,283,779,842,434,402,353,152 - Step 5: Solve for x
x = 837,283,779,842,434,402,353,152/1,292,420,303,894.20 - Step 6: Final answer
x = 647,841,710,099.73
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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.