Finding the Fourth Proportional to 1,314,197,232,613.60, 1,813,602,829,518.10 and 728,256,865,692.05
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Solution
The fourth proportional to 1,314,197,232,613.60, 1,813,602,829,518.10 and 728,256,865,692.05 is: 1,005,000,375,482.77
Step by Step Solution
- Step 1: Write the proportion equation
1,314,197,232,613.60 : 1,813,602,829,518.10 = 728,256,865,692.05 : x - Step 2: Convert to fraction form
1,314,197,232,613.60/1,813,602,829,518.10 = 728,256,865,692.05/x - Step 3: Cross multiply
1,314,197,232,613.60x = 1,813,602,829,518.10 × 728,256,865,692.05 - Step 4: Simplify right side
1,314,197,232,613.60x = 1,320,768,712,235,085,083,967,488 - Step 5: Solve for x
x = 1,320,768,712,235,085,083,967,488/1,314,197,232,613.60 - Step 6: Final answer
x = 1,005,000,375,482.77
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.